Let’s go step by step to solve the word problem at the bottom of the worksheet.
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Problem:
Children had to pick their favourite sport from basketball, football and hockey.
3/10 chose basketball and 1/4 chose hockey.
What percentage chose football?
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Step 1: Understand what we know
Total children = all the kids who picked one of the three sports → that’s 1 whole (or 100%).
We are told:
- Basketball = 3/10
- Hockey = 1/4
We need to find out what fraction chose
football, then convert that to a
percentage.
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Step 2: Add the fractions for basketball and hockey
We need to add:
3/10 + 1/4
To add fractions, they must have the same denominator. Let’s find the least common denominator of 10 and 4.
Multiples of 10: 10, 20, 30...
Multiples of 4: 4, 8, 12, 16, 20...
→ Least common denominator is
20
Convert both fractions:
- 3/10 = (3 × 2)/(10 × 2) =
6/20
- 1/4 = (1 × 5)/(4 × 5) =
5/20
Now add them:
6/20 + 5/20 =
11/20
So, 11/20 of the children chose either basketball or hockey.
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Step 3: Find the fraction that chose football
Total = 1 = 20/20
Football = Total - (Basketball + Hockey)
= 20/20 - 11/20 =
9/20
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Step 4: Convert 9/20 to a percentage
To turn a fraction into a percent, multiply by 100:
(9 ÷ 20) × 100 = ?
First, divide 9 by 20:
9 ÷ 20 = 0.45
Then multiply by 100:
0.45 × 100 =
45%
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✔ Final Answer:
45%
This means 45% of the children chose football as their favorite sport.
Parent Tip: Review the logic above to help your child master the concept of percent review worksheet.
