Sanskar Solve it:

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  1. Write the fraction for:
    (a) 2 parts out of 5
    (b) 7 parts out of 10
  2. Identify whether the following are proper, improper, or mixed fractions:
    (a) 3/4
    (b) 7/3
    (c) 2 ½
  3. Write two equivalent fractions of:
    (a) 3/5
    (b) 4/7
  4. Reduce the following fractions to lowest terms:
    (a) 18/24
    (b) 42/56
  6. Add:
    (a) 1/2 + 1/3
    (b) 3/4 + 2/5
    (c) 5/6 + 1/3
  7. Subtract:
    (a) 7/8 – 3/8
    (b) 5/6 – 2/9
    (c) 4/5 – 1/2
  1. Multiply:
    (a) 2/3 × 3/5
    (b) 5/6 × 1/4
    (c) 7/8 × 2/3
  2. Divide:
    (a) 3/4 ÷ 2/5
    (b) 5/6 ÷ 1/3
    (c) 7/8 ÷ 7/16
  1. A basket has 3/4 kg of apples and 2/5 kg of mangoes. What is the total weight of fruits?
  2. Riya read 5/8 of a book on Monday and 1/4 on Tuesday. What part of the book did she read in total?
  3. A rope is 7/9 metre long. If it is cut into 3 equal parts, what is the length of each part?
  4. A tank is 4/5 full. If 2/5 of the water is used, how much is left in the tank?
  1. Arrange the following fractions in ascending order:
    2/5, 3/10, 4/15
  2. Convert the following mixed fractions to improper fractions:
    (a) 3 1/2
    (b) 5 2/3
  3. Convert the following improper fractions to mixed numbers:
    (a) 11/4
    (b) 17/6
  4. Find the sum of 2/7, 3/14, and 1/2.
  5. Subtract 3/8 from 7/8.
  6. What fraction must be added to 5/9 to get 1?
  7. Multiply 4/5 by 10.
  8. Divide 6 by 3/4.
  9. How many 1/4 are there in 5?
  10. What is 3/5 of 25?
  11. A jug contains 3 1/2 litres of milk. If 1 3/4 litres is used, how much is left?
  12. A rectangular plot is 5 1/2 metres long and 3 2/3 metres wide. Find its area.
  13. A man covered 7/10 km by walking and 2/5 km by running. How much distance did he cover in total?
  14. The sum of two fractions is 11/12. If one of them is 5/12, find the other.
  15. If a wire is 8 3/4 m long and another is 5 1/2 m long, find the total length.
  16. A recipe requires 2 1/4 cups of sugar. How much sugar is needed for 3 such recipes?
  17. A piece of ribbon is 9 1/2 metres long. If each piece cut is 3/4 metre long, how many such pieces can be cut?
  18. Compare the fractions 5/6 and 7/8 using <, > or =.
  19. Write the fraction for:
  20. (a) 2 parts out of 5
    (b) 7 parts out of 10
    (c) 5 parts out of 9
    (d) 8 parts out of 12
    (e) 3 parts out of 4
    (f) 6 parts out of 11
    (g) 9 parts out of 15
  1. Identify whether the following are proper, improper, or mixed fractions:
  2. (a) 3/4
    (b) 7/3
    (c) 2 ½
    (d) 6/7
    (e) 10/4
    (f) 3 ¾
    (g) 9/9
  1. Write two equivalent fractions of:
  2. (a) 3/5
    (b) 4/7
    (c) 2/3
    (d) 5/6
    (e) 1/4
    (f) 7/10
    (g) 6/8
  1. Reduce the following fractions to lowest terms:
  2. (a) 18/24
    (b) 42/56
    (c) 16/24
    (d) 35/50
    (e) 36/48
    (f) 20/30
    (g) 14/21
  1. Add the following fractions:
  2. (a) 1/2 + 1/3
    (b) 3/4 + 2/5
    (c) 5/6 + 1/3
    (d) 2/7 + 3/7
    (e) 1/4 + 5/8
    (f) 3/10 + 7/10
    (g) 2/9 + 5/18
  1. Subtract the following fractions:
  2. (a) 7/8 – 3/8
    (b) 5/6 – 2/9
    (c) 4/5 – 1/2
    (d) 6/9 – 2/9
    (e) 7/10 – 3/5
    (f) 11/12 – 1/4
    (g) 5/6 – 1/3
  1. Multiply the following fractions:
  2. (a) 2/3 × 3/5
    (b) 5/6 × 1/4
    (c) 7/8 × 2/3
    (d) 4/9 × 3/5
    (e) 2/3 × 6/7
    (f) 3/7 × 1/2
    (g) 5/8 × 4/9
  1. Divide the following fractions:
  2. (a) 3/4 ÷ 2/5
    (b) 5/6 ÷ 1/3
    (c) 7/8 ÷ 7/16
    (d) 5/6 ÷ 1/2
    (e) 3/4 ÷ 2/5
    (f) 6/7 ÷ 3/14
    (g) 2/3 ÷ 4/5
  1. Convert the following improper fractions to mixed numbers:
  2. (a) 9/4
    (b) 13/5
    (c) 22/7
    (d) 10/3
    (e) 15/4
    (f) 17/6
    (g) 21/8
  1. Convert the following mixed numbers to improper fractions:
  2. (a) 2 1/2
    (b) 4 3/4
    (c) 5 2/3
    (d) 3 1/3
    (e) 6 1/2
    (f) 7 1/5
    (g) 1 2/7
  1. Find the missing number to make the fractions equivalent:
  2. (a) 3/5 = ?/10
    (b) 2/3 = ?/12
    (c) 5/6 = ?/18
    (d) 4/5 = ?/25
    (e) 3/4 = ?/16
    (f) 1/2 = ?/8
    (g) 7/10 = ?/20
  1. Arrange the following fractions in ascending order:
  2. (a) 2/5, 3/10, 4/15
    (b) 1/2, 3/4, 2/3
    (c) 5/8, 1/4, 3/4
    (d) 7/10, 3/5, 4/5
    (e) 6/9, 2/3, 5/6
    (f) 1/6, 1/2, 1/3
    (g) 9/10, 8/9, 7/8
  1. Word Problems on Fractions:
  2. (a) A basket has 3/4 kg of apples and 2/5 kg of mangoes. What is the total weight of fruits?
    (b) Riya read 5/8 of a book on Monday and 1/4 on Tuesday. What part of the book did she read in total?
    (c) A rope is 7/9 metre long. If it is cut into 3 equal parts, what is the length of each part?
    (d) A tank is 4/5 full. If 2/5 of the water is used, how much is left in the tank?
    (e) A bottle contains 1 3/4 litres of water. If 3/4 litres is used, how much is left?
    (f) A recipe needs 2/3 cup of sugar. How much sugar is needed for 5 cakes?
    (g) A cake recipe uses 2 1/2 cups of flour. How much flour is needed for 4 such recipes?

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