Fractions / Worksheet 1

Worksheet: Fractions

Class: 6 & 7
Total Marks: 50
Time Allowed: 1 Hour

Part A: Basics of Fractions (10 Marks)

1. Write the following fractions in the simplest form: (4 Marks)
   a. 12/16
   b. 45/60
   c. 81/108
   d. 100/125

2. Convert the following improper fractions to mixed numbers: (3 Marks)
   a. 17/5
   b. 25/4
   c. 41/6

3. Convert the following mixed numbers to improper fractions: (3 Marks)
   a. 3 2/5
   b. 7 3/4
   c. 5 1/6

Part B: Operations on Fractions (20 Marks)

4. Add the following fractions: (4 Marks)
   a. 2/7 + 3/7
   b. 5/8 + 7/16
   c. 1 2/3 + 2 1/6
   d. 3/5 + 2/3

5. Subtract the following fractions: (4 Marks)
   a. 5/6 − 1/3
   b. 9/4 − 7/8
   c. 3 1/2 − 1 2/5
   d. 7/10 − 3/5

6. Multiply the following fractions: (4 Marks)
   a. 3/5 × 4/7
   b. 5/9 × 2/3
   c. 2 1/4 × 3/5
   d. 6/11 × 2/9

7. Divide the following fractions: (4 Marks)
   a. 5/8 ÷ 2/3
   b. 7/4 ÷ 5/6
   c. 2 3/5 ÷ 1 1/5
   d. 9/10 ÷ 3/7

8. Solve: (4 Marks)
   a. A basket contains 3/4 kg of apples. If each person gets 1/8 kg, how many people can be served?
   b. A ribbon is 5/6 meters long. If 1/3 meter is cut off, how much ribbon remains?

Part C: Word Problems (20 Marks)

9. A piece of land is divided into 4 equal parts. If each part is 3/8 of an acre, what is the total area of the land? (4 Marks)

10. A school has 240 students. If 3/5 of them are boys, how many boys are there? How many girls are there? (4 Marks)

11. A tank is 3/4 full. If 1/2 of the water is used, what fraction of the tank is still filled? (4 Marks)

12. Rina baked a cake and cut it into 12 equal slices. She gave away 2/3 of the cake. How many slices are left? (4 Marks)

13. A car travels 5/6 of a journey in 4 hours. If the total journey is 180 km, how much distance is covered in 4 hours? (4 Marks)

End of Worksheet

Answer Key: Fractions Worksheet

Part A: Basics of Fractions

1. a. 3/4
   b. 3/4
   c. 3/4
   d. 4/5

2. a. 3 2/5
   b. 6 1/4
   c. 6 5/6

3. a. 17/5
   b. 31/4
   c. 31/6

Part B: Operations on Fractions

4. a. 5/7
   b. 17/16 or 1 1/16
   c. 3 5/6
   d. 19/15 or 1 4/15

5. a. 1/2
   b. 11/8 or 1 3/8
   c. 2 1/10
   d. 1/10

6. a. 12/35
   b. 10/27
   c. 27/20 or 1 7/20
   d. 4/33

7. a. 15/16
   b. 21/10 or 2 1/10
   c. 13/6 or 2 1/6
   d. 21/10 or 2 1/10

8. a. 6 people
   b. 1/2 meter

Part C: Word Problems

9. 1 1/2 acres

10. 144 boys, 96 girls

11. 1/4

12. 4 slices

13. 150 km

End of Answer Key