CLASS 8 MATHEMATICS

WORKSHEET — MULTIPLICATION OF FRACTIONS

Name: ____________________    Class: ______    Date: __________

15 Problems • Whole Number × Fraction • Fraction × Fraction • Lowest Form • Word Problems

Instruction: Multiply and write every fraction in its lowest form.

Quick Recall:
Whole number × fraction: multiply the whole number by the numerator and keep the denominator.
Fraction × fraction: multiply numerators and denominators.
Always reduce the final fraction to its lowest form.

Section A — Whole Number × Fraction

1. 4 × 3/7
Show Answer
12/7 = 1 5/7
2. 6 × 5/12
Show Answer
30/12 = 5/2 = 2 1/2
3. 9 × 7/18
Show Answer
63/18 = 7/2 = 3 1/2
4. 15 × 4/25
Show Answer
60/25 = 12/5 = 2 2/5
5. 21 × 8/35
Show Answer
168/35 = 24/5 = 4 4/5

Section B — Fraction × Fraction

6. 3/5 × 10/21
Show Answer
30/105 = 2/7
7. 7/12 × 18/35
Show Answer
126/420 = 3/10
8. 11/16 × 24/33
Show Answer
264/528 = 1/2
9. 14/27 × 9/28
Show Answer
126/756 = 1/6
10. 15/22 × 33/40
Show Answer
495/880 = 9/16

Section C — Multiply, Then Reduce to Lowest Form

11. 8/15 × 25/32
Show Answer
200/480 = 5/12
12. 18/35 × 14/27
Show Answer
252/945 = 4/15

Section D — Word Problems

13. A ribbon is 3/4 m long. Riya uses 2/3 of the ribbon for a craft project. How much ribbon does she use?
Show Answer
2/3 × 3/4 = 6/12 = 1/2 m.
14. A water tank contains 60 litres of water. 3/5 of the water is used. How many litres are used?
Show Answer
3/5 × 60 = 180/5 = 36 litres.
15. A farmer has 5/6 hectare of land. He uses 3/10 of this land to grow vegetables. What fraction of a hectare is used?
Show Answer
3/10 × 5/6 = 15/60 = 1/4 hectare.

⭐ Challenge

Bonus: Find the missing number: □ × 6/11 = 18/11
Show Answer
□ = (18/11) ÷ (6/11) = 3.