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.
Section E — Application & NCERT-Style Problems
16. Tenzin drinks
1/2 glass of milk every day. How many glasses of milk does he drink in a week? How many glasses does he drink in the month of January?
Show Answer
In a week: 7 × 1/2 = 7/2 = 3 1/2 glasses.
In January (31 days): 31 × 1/2 = 31/2 = 15 1/2 glasses.
17. A team of workers can make 1 km of a water canal in 8 days. How much canal can they make in one day? If they work for 5 days a week, how much canal can they make in a week?
Show Answer
In one day: 1 ÷ 8 = 1/8 km.
In 5 days: 5 × 1/8 = 5/8 km.
18. Manju and two of her neighbours buy 5 litres of oil every week and share it equally among the 3 families. How much oil does each family get in a week? How much oil will each family get in 4 weeks?
Show Answer
Each family per week = 5 ÷ 3 = 5/3 = 1 2/3 litres.
In 4 weeks = 4 × 5/3 = 20/3 = 6 2/3 litres.
19. Safia saw the Moon setting on Monday at 10 p.m. Her mother told her that every day the Moon sets
5/6 hour later than the previous day. How many hours after 10 p.m. will the Moon set on Thursday?
Show Answer
From Monday to Thursday there are 3 daily changes.
3 × 5/6 = 15/6 = 5/2 = 2 1/2 hours.
So the Moon sets 2 1/2 hours after 10 p.m., i.e. at 12:30 a.m..
20. Multiply and then convert each answer into a mixed fraction:
(a)
7 × 3/5(b)
4 × 1/3(c)
9/7 × 6(d)
13/11 × 6
Show Answer
(a) 21/5 = 4 1/5
(b) 4/3 = 1 1/3
(c) 54/7 = 7 5/7
(d) 78/11 = 7 1/11
Section F — Multiplying Two Fractions
21. A tortoise can walk
1/4 km in 1 hour. How far can it walk in
1/2 hour?
Show Answer
Distance = 1/2 × 1/4 = 1/8 km.