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Fraction Worksheet PDF with Answers: Free Math Practice

Guddu Kumar

1. Fractional Numbers ​

  1. Write the fraction representing the shaded portion:
  2. Shade the figures to show the fractions written below them.
  3. Write a fraction for each of the following:
    1. three-fourths
    2. four-sevenths
    3. two-fifths
    4. three-tenths
    5. one-eighth
    6. five-sixths
    7. eight-ninths
    8. seven-twelfths
  4. Write down the fractional number for each of the following:
  5. Write the numerators and the denominators of the following fractional numbers:
  6. Write down the fraction in which
    1. Numerator = 3, Denominator = 8
    2. Numerator = 5, Denominator = 12
    3. Numerator = 7, Denominator = 16
    4. Numerator = 8, Denominator = 15
  7. Represent each of the following fractions on the number line:
  8. Ring all the like fractions:
    1. , []{.math .inline}, ,
    2. , []{.math .inline}, ,
    3. , []{.math .inline}, ,
  9. Which of the following are proper fractions, improper fractions and mixed fractions?
    , , , , 2, , , 3, , , , , , , 3, , , , , , 3, 1, , 7, 8, , 9, , 21, 29,
  10. Ring the unit fractions:
    , , , , ,
  11. Write each of the following divisions as fractions:
    1. 3 ÷ 5
    2. 5 ÷ 3
    3. 7 ÷ 9
    4. 9 ÷ 1
  12. Write each of the following fractions in the form of division:
    3. 2
  13. Express each of the following as a mixed fraction or a whole number:
  14. Express the following as improper fractions :
    7. 1
  15. Write the integral part and the fractional part of the following mixed frachons:
    1. 2
    2. 4
    3. 9
    4. 10
  16. Fill in the blanks:
    1. = []{.math .inline}
    2. = []{.math .inline}
    3. = []{.math .inline}
    4. = []{.math .inline}
    5. = []{.math .inline}
    6. = []{.math .inline}
    7. = []{.math .inline}
    8. = []{.math .inline}
  17. Fill in the blanks so that the fractions may be equivalent:
    1. = []{.math .inline} = = []{.math .inline} = []
    2. = []{.math .inline} = = []{.math .inline} = []
    3. = []{.math .inline} = = []{.math .inline} = []
    4. = []{.math .inline} = = []{.math .inline} = []
    5. = []{.math .inline} = = []{.math .inline} = []
    6. = []{.math .inline} = = []{.math .inline} = []
    1. Write two equivalent fractions of []{.math .inline}.
    2. Write three equivalent fractons of []{.math .inline}.
    3. Write four equivalent fractions of []{.math .inline}.
    4. Write five equivalent fractions of []{.math .inline}.
  19. Change each of the following fractions to equivalent fractions having the denominator 32:
  20. Change each of the following fractions to equivalent fractions having the numerator 48:
  21. Are the following fractions equivalent? Write 'Yes' or 'No:
    1. =
    2. =
    3. = []{.math .inline}
    4. =
    5. =
    6. = []
    7. = []{.math .inline}
    8. = []{.math .inline}
    9. = []
  22. Write 'True' or 'False':
    1. = []{.math .inline}
    2. = []{.math .inline}
    3. = []{.math .inline}
    4. =
    1. Express 6 as a fracton with 5 as the denominator.
    2. Express 3 as a fraction with 8 as the denominator.
  24. Change the following fractions to like fractions:
    1. ,
    2. ,
    3. ,
    4. , []{.math .inline}
    5. , ,
    6. , ,

Write the correct sign, > or < or =, in each box ​

    1. □
    2. □ []{.math .inline}
    3. □
    4. □ []{.math .inline}
    5. □ []{.math .inline}
    6. □ []{.math .inline}
    1. □
    2. □
    3. □
    4. □ []{.math .inline}
    5. □
    6. □ []{.math .inline}
    1. □
    2. □
    3. □
    4. □
    5. □
    6. □
    7. □
    8. □ []{.math .inline}
    9. □ []{.math .inline}
    1. 1 □
    2. 2 □
    3. □ 4
    4. 3 □ []{.math .inline}
    5. 3 □ 4[]{.math .inline}
    6. □ 2

Write the following fractons in ascending order: ​

    1. , []{.math .inline}, ,
    2. , []{.math .inline}, ,
    3. , []{.math .inline}, ,
    1. , []{.math .inline}, ,
    2. , []{.math .inline}, ,
    3. , []{.math .inline}, ,
    1. , , ,
    2. , , ,
    3. , , ,

Write the following fractions in descending order: ​

    1. , []{.math .inline}, ,
    2. , []{.math .inline}, ,
    3. , []{.math .inline}, ,
    1. , []{.math .inline}, ,
    2. , []{.math .inline}, ,
    3. , []{.math .inline}, ,
    1. , , ,
    2. , , ,
    3. , []{.math .inline}, , []{.math .inline}
  4. Find out if the following fractions are in the lowest terms:
  5. Which of the following fractions are not in the lowest terms?
  6. Reduce to the lowest terms:
  7. Add together:
    1. ,
    2. ,
    3. ,
    4. ,
    5. , []{.math .inline}
    6. , []{.math .inline}

Find ​

    1. +
    2. +
    3. +
    4. + []{.math .inline}
    5. + []{.math .inline}
    6. + []{.math .inline}
    7. + []{.math .inline}
    8. + []{.math .inline}
    9. + []{.math .inline}
    1. + []{.math .inline} +
    2. + []{.math .inline} +
    3. + []{.math .inline} +
    4. + []{.math .inline} +
    5. + []{.math .inline} +
    6. + []{.math .inline} +
    1. +
    2. +
    3. +
    4. +
    5. +
    6. +
    7. +
    8. +
    9. + []{.math .inline}
    10. + []{.math .inline}
    11. + []{.math .inline}
    12. + []{.math .inline}
    1. + []{.math .inline} +
    2. + []{.math .inline} +
    3. + []{.math .inline} +
    4. + []{.math .inline} +
    5. + []{.math .inline} +
    6. + []{.math .inline} +
    7. + []{.math .inline} +
    8. + []{.math .inline} +
    9. + []{.math .inline} + +
    10. + []{.math .inline} + +
    11. + []{.math .inline} + +
    12. + []{.math .inline} + +
    1. 5 +
    2. 4 +
    3. 7 +
    4. 6 +
    5. 10 +
    6. 8 +
    7. + 0
    1. 2 + 3[]{.math .inline}
    2. 5 + 2[]{.math .inline}
    3. 5 + 2[]{.math .inline}
    4. 2 + 3[]{.math .inline} + 4
    5. 2 + 3[]{.math .inline} + 10
    6. 3 + 1[]{.math .inline} + 2
    1. 2 + 1[]{.math .inline}
    2. 3 + 2[]{.math .inline}
    3. 4 + 3[]{.math .inline}
    4. 6 + 10[]{.math .inline}
    5. 3 + 2[]{.math .inline}
    6. 2 + 1[]{.math .inline}
    1. 2 + 2[]{.math .inline} + 2
    2. 3 + 5[]{.math .inline} + 1
    3. 3 + 4[]{.math .inline} + 2
    4. 4 + 1[]{.math .inline} + 5
    5. 1 + 2[]{.math .inline} + 3
    6. 2 + 3[]{.math .inline} + 4
    1. + 2[]{.math .inline}
    2. + 2[]{.math .inline}
    3. 1 + []{.math .inline}
    4. 2 + + 3[]{.math .inline}
    5. 4 + 3 + 3[]{.math .inline}
    6. + 5[]{.math .inline} + 4
    1. −
    2. −
    3. −
    4. − []{.math .inline}
    5. − []{.math .inline}
    6. − []{.math .inline}
    7. − []{.math .inline}
    8. − []{.math .inline}
    9. − []{.math .inline}
    1. −
    2. −
    3. − []{.math .inline}
    4. − []{.math .inline}
    5. − []{.math .inline}
    6. − []{.math .inline}
    7. − []{.math .inline}
    8. − []{.math .inline}
    9. − []{.math .inline}
    1. 12 − []{.math .inline}
    2. 7 −
    3. 4 − []{.math .inline}
    1. 6 − 4[]{.math .inline}
    2. 7 − 5[]{.math .inline}
    3. 8 − 3[]{.math .inline}
    4. 3 − 1[]{.math .inline}
    5. 4 − 2[]{.math .inline}
    6. 5 − 1[]{.math .inline}
    1. 3 −
    2. 6 −
    3. 8 − 3
    1. − 0
    2. − 0
    3. 2 − 0
    4. −
    5. − []{.math .inline}
    6. 3 − 3[]{.math .inline}
  16. Use repeated addition to find the following:
    1. 3 ×
    2. 6 ×
    3. 2 ×
    4. 4 ×

Multiply: ​

    1. of 63
    2. of 72
    3. of 60
    4. of 75
    5. of
    6. of 20
    1. of 24
    2. of 32
    3. of 45
    4. of 1000
    5. of 1020
    6. of ₹ 220
    7. of 54 metres
    8. of 35 litres
    9. of an hour
    10. of an year
    11. of a kg
    12. of a metre
    13. of a day
    14. of a week
    15. of a litre
    1. How much is 4 times ?
    2. How much is 5 times ?

Find: ​

    1. 7 ×
    2. 8 ×
    3. 9 ×
    4. × 11
    5. × 12
    6. × 28
    1. 3 × 5
    2. 4 × 7
    3. 9 × 3
    4. 2 × 8
    5. 3 × 9
    6. 4 × 7
    7. 10 × 6
    8. 11 × 2
    9. 17 × 1
    1. ×
    2. ×
    3. ×
    4. ×
    5. ×
    6. × []{.math .inline}
    1. 1 ×
    2. 1 ×
    3. 2 ×
    4. × 2[]{.math .inline}
    5. × 3[]{.math .inline}
    6. × 5
    1. 4 × 1[]{.math .inline}
    2. 9 × 2[]{.math .inline}
    3. 5 × 5[]{.math .inline}
    1. 2 × []{.math .inline}
    2. 1 × []{.math .inline}
    3. × 6[]{.math .inline}
    4. 20 × 3
    5. 1 × 2[]{.math .inline}
    6. 3 × 5[]{.math .inline}
    7. 5 × 5[]{.math .inline}
    8. 8 × 28
    1. 5 times 1
    2. 12 times 2
  8. Fill in the blanks:
    1. of a rupee = □ paise
    2. of two rupees = □ paise
    3. of fifty rupees = □ rupees
    4. of four rupees = □ paise
  9. Fill in the blanks:
    1. of a kg = □ g
    2. of a kg = □ g
    3. of forty-nine kg = □ kg
    4. of 30 kg = □ g
  10. Write the reciprocals (multiplicative inverses) of the following:
    4. 7
    5. 11
    6. 45
    10. 1
    11. 2
    12. 3

Divide: ​

    1. 3 by 1
    2. 5 by 2
    3. 4 by 3
    4. 6 by 7
    1. 1 by 3
    2. 2 by 5
    3. 3 by 4
    4. 4 by 6
    1. 2 by
    2. 4 by
    3. by 5
    4. by 14
    5. 15 by
    1. by
    2. by
    3. by
    4. by []{.math .inline}
    5. by []{.math .inline}
    6. by []{.math .inline}
    1. by 2
    2. by 3
    3. by 4
    4. by 4
    5. by 4
    6. by 7
    1. 6 by
    2. 15 by
    3. 16 by
    4. 20 by
    5. 36 by
    6. 45 by
    1. by 3
    2. by 3
    3. by 7
    4. by 9
    5. 7 by
    6. 9 by
    1. by
    2. by
    3. by []{.math .inline}
    4. by []{.math .inline}
    5. by []{.math .inline}
    6. by []{.math .inline}
    7. by []{.math .inline}
    8. by []{.math .inline}

Find: ​

    1. 1 ÷ 3
    2. 1 ÷ 4
    3. 2 ÷ 11
    4. 3 ÷ 92
    5. 63 ÷ 2
    6. 72 ÷ 9
    1. ÷ 2
    2. ÷ 2
    3. ÷ 4
    4. ÷ 3
    5. ÷ 4
    6. ÷ 5
    1. 2 ÷ 7
    2. 3 ÷ 26
    3. 5 ÷ 42
    4. 7 ÷ 46
    5. 11 ÷ 57
    6. 12 ÷ 102
    1. 4 ÷
    2. 13 ÷
    3. 15 ÷
    1. 16 ÷
    2. 21 ÷ 3
    3. 25 ÷ 7
    4. 35 ÷ 3
    5. 67 ÷ 9
    6. 99 ÷ 2
    1. ÷ []{.math .inline}
    2. ÷ []{.math .inline}
    3. ÷ []{.math .inline}
    4. ÷
    5. ÷ []{.math .inline}
    6. ÷ []{.math .inline}
    1. 1 ÷
    2. ÷ []{.math .inline}
    3. ÷ []{.math .inline}
    4. 1 ÷ 6[]{.math .inline}
    5. 3 ÷ 5[]{.math .inline}
    6. 10 ÷ 4[]{.math .inline}
    1. 3 ÷
    2. 5 ÷
    3. 16 ÷ []{.math .inline}
    4. ÷ 1[]{.math .inline}
    5. ÷ 2[]{.math .inline}
    6. ÷ 2[]{.math .inline}
    7. 6 ÷ 2[]{.math .inline}
    8. 11 ÷ 3[]{.math .inline}
    9. 6 ÷ 13[]{.math .inline}

Simplify: ​

    1. + −
    2. − −
    3. − []{.math .inline} +
    4. + []{.math .inline} −
    5. − []{.math .inline} −
    6. − []{.math .inline} +
    1. − − + []{.math .inline}
    2. + − + []{.math .inline}
    3. + []{.math .inline} + −
    1. − []{.math .inline} +
    2. + −
    3. − []{.math .inline} +
    4. + −
    5. 3 − + []{.math .inline}
    6. 11 + − []{.math .inline}
    1. 3 + 4[]{.math .inline} − 6
    2. 3 − 1[]{.math .inline} −
    3. 5 + 3[]{.math .inline} − 1
    4. 1 − 2[]{.math .inline} + 5
    5. 4 + 1 − 2[]{.math .inline}
    6. 5 − 2 − 1[]{.math .inline}
    1. × ×
    2. × []{.math .inline} ×
    3. × []{.math .inline} ×
    4. 6 × 6[]{.math .inline} ×
    5. 2 × []{.math .inline} × 2
    6. 4 × []{.math .inline} × 7 × 1
    7. × []{.math .inline} × 2 × × 23[]{.math .inline}
    1. ÷ of
    2. ÷ ×
    3. 5 ÷ ×
    4. 5 ÷ of
    5. + 2 − × 3[]{.math .inline}
    6. 3 ÷ × 4 × 1[]{.math .inline}
    7. + 1 ÷ 1 × []{.math .inline} −
    8. 1 − 2[]{.math .inline} of + ÷
    9. 9 ÷ of × []{.math .inline}
    10. of 1[]{.math .inline} ÷ − + ×
    11. 7 ÷ 3[]{.math .inline} of 2 + 4 ÷ 2 − 2[]{.math .inline}
    12. 25 of ÷ 1[]{.math .inline} + 3 of ÷ 10
    1. []
    2. []
    3. []{.math .inline}
    4. []
    5. []{.math .inline}
    6. 140 - [4 + {12 × (7 − 5)}]
    7. []{.math .inline}
    8. []{.math .inline}
    9. []
    10. []{.math .inline}
    11. []

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