Let’s solve each word problem step by step. These are all
fraction multiplication problems — we’re finding a fraction *of* another fraction.
---
Problem 1:
> In Abigael’s boarding school,
2/5 of the students are in the school playground. Of those students,
3/4 are in various sport uniforms. What fraction of Abigael’s boarding school students are in various sport uniforms?
✔ Solution:
We need to find
3/4 of 2/5.
That means:
>
3/4 × 2/5
Multiply numerators: 3 × 2 =
6
Multiply denominators: 4 × 5 =
20
So,
6/20
Now simplify:
Divide numerator and denominator by 2 →
3/10
✔ Answer: 3/10
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Problem 2:
>
2/6 of the leftover cake from Mia’s birthday is still in the fridge. Mia’s brother Bob decided to eat
2/3 of the cake. What fraction of cake did Mia’s brother eat? (Write your answer in its lowest form.)
✔ Solution:
Bob ate
2/3 of 2/6.
So:
>
2/3 × 2/6
Multiply numerators: 2 × 2 =
4
Multiply denominators: 3 × 6 =
18
So,
4/18
Simplify: divide numerator and denominator by 2 →
2/9
✔ Answer: 2/9
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Problem 3:
> Mrs Adams is the head of a health club.
2/3 of the members like fruits. Among those who like fruits,
3/10 like oranges more than anything. What fraction of members are fond of oranges? (Write in lowest term.)
✔ Solution:
We want
3/10 of 2/3.
So:
>
3/10 × 2/3
Multiply numerators: 3 × 2 =
6
Multiply denominators: 10 × 3 =
30
So,
6/30
Simplify: divide numerator and denominator by 6 →
1/5
✔ Answer: 1/5
---
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✔ Final Answers:
1.
3/10
2.
2/9
3.
1/5
These problems all follow the same pattern:
>
“Fraction A of Fraction B” = A × B
Then simplify the result if possible. Great practice for multiplying fractions! 🎉
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions word problems 6th grade worksheet.
