Fractions Decimals and Simplification Competitive Exams
100 questions · Mathematics
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Question 1 of 100
Simplify: 4/3 + 3/2
ExplanationLCM of 3 and 2 is used to make denominators equal. Result is 17/6. Tip: Always simplify the final fraction.
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Question 2 of 100
Multiply 3.5 and 4.2.
Explanation3.5 × 4.2 = 14.7. Tip: Count total decimal places in operands for the result.
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Question 3 of 100
Evaluate √( 4 / 1 )
ExplanationSquare root of 4 is 2.
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Question 4 of 100
Convert the recurring decimal 0.444... to a fraction.
ExplanationFor single digit recurring decimal 0.x..., the fraction is x/9. So 0.4... = 4/9.
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Question 5 of 100
Evaluate using BODMAS: 4 + 2 × 8
ExplanationAccording to BODMAS, multiplication comes before addition. 2 × 8 = 16, then + 4 = 20.
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Question 6 of 100
Convert the improper fraction 12/6 to a mixed number.
Explanation12 ÷ 6 gives quotient 2 and remainder 0. So mixed fraction is 2 0/6.
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Question 7 of 100
Evaluate: (3 + 3) × 9
ExplanationAccording to BODMAS, brackets are solved first. (3 + 3) = 6, then × 9 = 54.
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Question 8 of 100
Convert the mixed number 3 5/9 to an improper fraction.
ExplanationMultiply whole number 3 by denominator 9 and add numerator 5 = 32. The fraction is 32/9.
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Question 9 of 100
Evaluate: (3 + 4) × 6
ExplanationAccording to BODMAS, brackets are solved first. (3 + 4) = 7, then × 6 = 42.
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Question 10 of 100
Evaluate: (8 + 2) × 5
ExplanationAccording to BODMAS, brackets are solved first. (8 + 2) = 10, then × 5 = 50.
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Question 11 of 100
Convert the recurring decimal 0.272727... to a fraction.
ExplanationFor a two-digit recurring block 0.ab ab..., the fraction is ab/99. So 0.272727... = 27/99 (which simplifies to 3/11).
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Question 12 of 100
Evaluate: (6 + 3) × 7
ExplanationAccording to BODMAS, brackets are solved first. (6 + 3) = 9, then × 7 = 63.
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Question 13 of 100
Simplify: 2/3 + 3/5
ExplanationLCM of 3 and 5 is used to make denominators equal. Result is 19/15. Tip: Always simplify the final fraction.
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Question 14 of 100
Convert the recurring decimal 0.888... to a fraction.
ExplanationFor single digit recurring decimal 0.x..., the fraction is x/9. So 0.8... = 8/9.
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Question 15 of 100
Evaluate √( 16 / 1 )
ExplanationSquare root of 16 is 4.
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Question 16 of 100
Convert the mixed number 2 5/10 to an improper fraction.
ExplanationMultiply whole number 2 by denominator 10 and add numerator 5 = 25. The fraction is 25/10.
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Question 17 of 100
Multiply 1.6 and 1.0.
Explanation1.6 × 1.0 = 1.6. Tip: Count total decimal places in operands for the result.
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Question 18 of 100
Evaluate using BODMAS: 3 + 8 × 4
ExplanationAccording to BODMAS, multiplication comes before addition. 8 × 4 = 32, then + 3 = 35.
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Question 19 of 100
Evaluate: (10 + 7) × 5
ExplanationAccording to BODMAS, brackets are solved first. (10 + 7) = 17, then × 5 = 85.
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Question 20 of 100
What is 1/10 of 39?
Explanation1/10 implies dividing by 10. 39 / 10 = 3.9.
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Question 21 of 100
Evaluate: (2 + 2) × 6
ExplanationAccording to BODMAS, brackets are solved first. (2 + 2) = 4, then × 6 = 24.
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Question 22 of 100
Evaluate √( 100 / 1 )
ExplanationSquare root of 100 is 10.
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Question 23 of 100
What is 1/10 of 17?
Explanation1/10 implies dividing by 10. 17 / 10 = 1.7.
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Question 24 of 100
Evaluate: (8 + 3) × 9
ExplanationAccording to BODMAS, brackets are solved first. (8 + 3) = 11, then × 9 = 99.
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Question 25 of 100
Convert the recurring decimal 0.555... to a fraction.
ExplanationFor single digit recurring decimal 0.x..., the fraction is x/9. So 0.5... = 5/9.
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Question 26 of 100
Evaluate: (9 + 3) × 9
ExplanationAccording to BODMAS, brackets are solved first. (9 + 3) = 12, then × 9 = 108.
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Question 27 of 100
What is 1/10 of 29?
Explanation1/10 implies dividing by 10. 29 / 10 = 2.9.
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Question 28 of 100
Simplify: 8/4 - 3/4
ExplanationMake denominators equal and subtract numerators. Result is 5/4.
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Question 29 of 100
Multiply 4.3 and 3.9.
Explanation4.3 × 3.9 = 16.77. Tip: Count total decimal places in operands for the result.
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Question 30 of 100
What is 1/10 of 19?
Explanation1/10 implies dividing by 10. 19 / 10 = 1.9.
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Question 31 of 100
Convert the improper fraction 28/2 to a mixed number.
Explanation28 ÷ 2 gives quotient 14 and remainder 0. So mixed fraction is 14 0/2.
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Question 32 of 100
Convert the mixed number 1 1/9 to an improper fraction.
ExplanationMultiply whole number 1 by denominator 9 and add numerator 1 = 10. The fraction is 10/9.
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Question 33 of 100
What is 1/10 of 28?
Explanation1/10 implies dividing by 10. 28 / 10 = 2.8.
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Question 34 of 100
Evaluate √( 25 / 1 )
ExplanationSquare root of 25 is 5.
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Question 35 of 100
Simplify: 2/3 + 3/3
ExplanationLCM of 3 and 3 is used to make denominators equal. Result is 5/3. Tip: Always simplify the final fraction.
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Question 36 of 100
Evaluate using BODMAS: 6 + 5 × 7
ExplanationAccording to BODMAS, multiplication comes before addition. 5 × 7 = 35, then + 6 = 41.
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Question 37 of 100
Convert the mixed number 5 3/9 to an improper fraction.
ExplanationMultiply whole number 5 by denominator 9 and add numerator 3 = 48. The fraction is 48/9.
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Question 38 of 100
Convert the improper fraction 14/8 to a mixed number.
Explanation14 ÷ 8 gives quotient 1 and remainder 6. So mixed fraction is 1 6/8.
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Question 39 of 100
Multiply 3.6 and 4.7.
Explanation3.6 × 4.7 = 16.92. Tip: Count total decimal places in operands for the result.
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Question 40 of 100
Multiply 4.0 and 4.9.
Explanation4.0 × 4.9 = 19.6. Tip: Count total decimal places in operands for the result.
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Question 41 of 100
Simplify: 10/4 - 2/2
ExplanationMake denominators equal and subtract numerators. Result is 3/2.
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Question 42 of 100
Convert the mixed number 2 2/6 to an improper fraction.
ExplanationMultiply whole number 2 by denominator 6 and add numerator 2 = 14. The fraction is 14/6.
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Question 43 of 100
Convert the improper fraction 28/3 to a mixed number.
Explanation28 ÷ 3 gives quotient 9 and remainder 1. So mixed fraction is 9 1/3.
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Question 44 of 100
Simplify: 7/5 - 4/4
ExplanationMake denominators equal and subtract numerators. Result is 2/5.
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Question 45 of 100
Convert the recurring decimal 0.999... to a fraction.
ExplanationFor single digit recurring decimal 0.x..., the fraction is x/9. So 0.9... = 9/9.
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Question 46 of 100
Evaluate using BODMAS: 10 + 9 × 10
ExplanationAccording to BODMAS, multiplication comes before addition. 9 × 10 = 90, then + 10 = 100.
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Question 47 of 100
Simplify: 9/3 - 2/4
ExplanationMake denominators equal and subtract numerators. Result is 5/2.
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Question 48 of 100
Multiply 1.2 and 3.3.
Explanation1.2 × 3.3 = 3.96. Tip: Count total decimal places in operands for the result.
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Question 49 of 100
Simplify: 6/3 - 4/3
ExplanationMake denominators equal and subtract numerators. Result is 2/3.
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Question 50 of 100
Convert the mixed number 1 4/10 to an improper fraction.
ExplanationMultiply whole number 1 by denominator 10 and add numerator 4 = 14. The fraction is 14/10.
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Question 51 of 100
Simplify: 1/2 + 4/4
ExplanationLCM of 2 and 4 is used to make denominators equal. Result is 3/2. Tip: Always simplify the final fraction.
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Question 52 of 100
Simplify: 5/5 + 1/2
ExplanationLCM of 5 and 2 is used to make denominators equal. Result is 3/2. Tip: Always simplify the final fraction.
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Question 53 of 100
Simplify: 5/5 + 2/5
ExplanationLCM of 5 and 5 is used to make denominators equal. Result is 7/5. Tip: Always simplify the final fraction.
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Question 54 of 100
Evaluate using BODMAS: 10 + 4 × 7
ExplanationAccording to BODMAS, multiplication comes before addition. 4 × 7 = 28, then + 10 = 38.
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Question 55 of 100
Evaluate √( 36 / 1 )
ExplanationSquare root of 36 is 6.
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Question 56 of 100
Multiply 4.3 and 4.7.
Explanation4.3 × 4.7 = 20.21. Tip: Count total decimal places in operands for the result.
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Question 57 of 100
Evaluate using BODMAS: 3 + 8 × 6
ExplanationAccording to BODMAS, multiplication comes before addition. 8 × 6 = 48, then + 3 = 51.
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Question 58 of 100
Simplify: 3/5 + 2/2
ExplanationLCM of 5 and 2 is used to make denominators equal. Result is 8/5. Tip: Always simplify the final fraction.
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Question 59 of 100
Simplify: 3/3 + 2/2
ExplanationLCM of 3 and 2 is used to make denominators equal. Result is 2. Tip: Always simplify the final fraction.
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Question 60 of 100
Convert the recurring decimal 0.777... to a fraction.
ExplanationFor single digit recurring decimal 0.x..., the fraction is x/9. So 0.7... = 7/9.
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Question 61 of 100
What is 1/10 of 22?
Explanation1/10 implies dividing by 10. 22 / 10 = 2.2.
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Question 62 of 100
Multiply 2.7 and 2.5.
Explanation2.7 × 2.5 = 6.75. Tip: Count total decimal places in operands for the result.
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Question 63 of 100
What is 1/10 of 33?
Explanation1/10 implies dividing by 10. 33 / 10 = 3.3.
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Question 64 of 100
Convert the improper fraction 26/7 to a mixed number.
Explanation26 ÷ 7 gives quotient 3 and remainder 5. So mixed fraction is 3 5/7.
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Question 65 of 100
Simplify: 9/4 - 4/4
ExplanationMake denominators equal and subtract numerators. Result is 5/4.
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Question 66 of 100
What is 1/10 of 26?
Explanation1/10 implies dividing by 10. 26 / 10 = 2.6.
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Question 67 of 100
Evaluate √( 144 / 1 )
ExplanationSquare root of 144 is 12.
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Question 68 of 100
What is 1/10 of 16?
Explanation1/10 implies dividing by 10. 16 / 10 = 1.6.
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Question 69 of 100
Convert the mixed number 3 3/6 to an improper fraction.
ExplanationMultiply whole number 3 by denominator 6 and add numerator 3 = 21. The fraction is 21/6.
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Question 70 of 100
Evaluate: (6 + 2) × 10
ExplanationAccording to BODMAS, brackets are solved first. (6 + 2) = 8, then × 10 = 80.
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Question 71 of 100
Convert the improper fraction 29/2 to a mixed number.
Explanation29 ÷ 2 gives quotient 14 and remainder 1. So mixed fraction is 14 1/2.
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Question 72 of 100
Evaluate √( 81 / 1 )
ExplanationSquare root of 81 is 9.
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Question 73 of 100
Simplify: 5/4 + 3/2
ExplanationLCM of 4 and 2 is used to make denominators equal. Result is 11/4. Tip: Always simplify the final fraction.
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Question 74 of 100
Simplify: 7/3 - 1/2
ExplanationMake denominators equal and subtract numerators. Result is 11/6.
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Question 75 of 100
Simplify: 10/2 - 4/4
ExplanationMake denominators equal and subtract numerators. Result is 4.
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Question 76 of 100
Evaluate √( 9 / 1 )
ExplanationSquare root of 9 is 3.
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Question 77 of 100
Multiply 1.0 and 2.3.
Explanation1.0 × 2.3 = 2.3. Tip: Count total decimal places in operands for the result.
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Question 78 of 100
Evaluate √( 64 / 1 )
ExplanationSquare root of 64 is 8.
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Question 79 of 100
Simplify: 8/3 - 4/4
ExplanationMake denominators equal and subtract numerators. Result is 5/3.
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Question 80 of 100
Multiply 2.9 and 2.8.
Explanation2.9 × 2.8 = 8.12. Tip: Count total decimal places in operands for the result.
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Question 81 of 100
Evaluate √( 49 / 1 )
ExplanationSquare root of 49 is 7.
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Question 82 of 100
Simplify: 10/3 - 3/5
ExplanationMake denominators equal and subtract numerators. Result is 41/15.
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Question 83 of 100
Evaluate: (3 + 6) × 8
ExplanationAccording to BODMAS, brackets are solved first. (3 + 6) = 9, then × 8 = 72.
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Question 84 of 100
Convert the mixed number 3 3/10 to an improper fraction.
ExplanationMultiply whole number 3 by denominator 10 and add numerator 3 = 33. The fraction is 33/10.
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Question 85 of 100
Evaluate using BODMAS: 2 + 7 × 3
ExplanationAccording to BODMAS, multiplication comes before addition. 7 × 3 = 21, then + 2 = 23.
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Question 86 of 100
Convert the improper fraction 19/6 to a mixed number.
Explanation19 ÷ 6 gives quotient 3 and remainder 1. So mixed fraction is 3 1/6.
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Question 87 of 100
Evaluate using BODMAS: 6 + 10 × 5
ExplanationAccording to BODMAS, multiplication comes before addition. 10 × 5 = 50, then + 6 = 56.
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Question 88 of 100
Convert the improper fraction 22/9 to a mixed number.
Explanation22 ÷ 9 gives quotient 2 and remainder 4. So mixed fraction is 2 4/9.
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Question 89 of 100
Convert the improper fraction 29/9 to a mixed number.
Explanation29 ÷ 9 gives quotient 3 and remainder 2. So mixed fraction is 3 2/9.
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Question 90 of 100
Convert the recurring decimal 0.333... to a fraction.
ExplanationFor single digit recurring decimal 0.x..., the fraction is x/9. So 0.3... = 3/9.
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Question 91 of 100
Convert the recurring decimal 0.111... to a fraction.
ExplanationFor single digit recurring decimal 0.x..., the fraction is x/9. So 0.1... = 1/9.
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Question 92 of 100
Convert the recurring decimal 0.222... to a fraction.
ExplanationFor single digit recurring decimal 0.x..., the fraction is x/9. So 0.2... = 2/9.
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Question 93 of 100
Convert the recurring decimal 0.666... to a fraction.
ExplanationFor single digit recurring decimal 0.x..., the fraction is x/9. So 0.6... = 6/9.
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Question 94 of 100
Evaluate using BODMAS: 3 + 3 × 4
ExplanationAccording to BODMAS, multiplication comes before addition. 3 × 4 = 12, then + 3 = 15.
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Question 95 of 100
Evaluate using BODMAS: 7 + 2 × 3
ExplanationAccording to BODMAS, multiplication comes before addition. 2 × 3 = 6, then + 7 = 13.
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Question 96 of 100
Convert the mixed number 3 5/7 to an improper fraction.
ExplanationMultiply whole number 3 by denominator 7 and add numerator 5 = 26. The fraction is 26/7.
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Question 97 of 100
Simplify: 2/5 + 2/4
ExplanationLCM of 5 and 4 is used to make denominators equal. Result is 9/10. Tip: Always simplify the final fraction.
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Question 98 of 100
Convert the improper fraction 17/3 to a mixed number.
Explanation17 ÷ 3 gives quotient 5 and remainder 2. So mixed fraction is 5 2/3.
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Question 99 of 100
Convert the mixed number 5 1/9 to an improper fraction.
ExplanationMultiply whole number 5 by denominator 9 and add numerator 1 = 46. The fraction is 46/9.
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Question 100 of 100
What is 1/10 of 24?
Explanation1/10 implies dividing by 10. 24 / 10 = 2.4.
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