# Unequal Sharing Using Fractions

In this worksheet, students solve problems involving unequal sharing and grouping using their knowledge of fractions.

Key stage:  KS 2

Curriculum topic:   Ratio and Proportion

Curriculum subtopic:   Solve Fraction/Multiples Problems

Difficulty level:

### QUESTION 1 of 10

When we share a box of apples and give half to Ann and half to Bill, they will each get the same number.

When we share a box of apples and give ¾ to Ann and the rest to Bill, Ann will get more than Bill.

Example

A class has 25 children.

3/5 are boys.

How many boys and girls are in the class?

Work out what 1 fifth of the children is.

1/5 of 25 = 25 ÷ 5 = 5 children.

So 3/5 = 3 × 5 = 15 boys.

25 - 15 = 10 girls.

Notice that 2/5 of the class will be girls.

2/5 = 2 × 5 = 10 girls.

A class has 24 children.

3/4 are girls.

How many girls are in the class?

A class has 24 children.

3/4 are girls.

How many boys are in the class?

35 children go on a school trip.

3/5 are girls.

How many girls go on the trip?

35 children go on a school trip.

3/5 are girls.

How many boys go on the trip?

Jack and Jill pick 40 apples.

Jack takes 3/4 of them and Jill takes the rest.

How many do they each take?

 No. of Apples Jack Jill

Jack and Jill pick 40 apples.

Jack takes 3/5 of them and Jill takes the rest.

How many do they each take?

 No. of Apples Jack Jill

Amy and Ben drive 80 miles.

Amy drives 3/4 of the way and Ben drives the rest.

How many miles do they each drive?

 Miles Amy Ben

Amy and Ben drive 56 miles.

Amy drives 3/7 of the way and Ben drives the rest.

How many miles do they each drive?

 Miles Amy Ben

A school has 240 children.

3/8 are girls.

How many boys and girls are in the school?

 Number Boys Girls

A hotel has 320 guests.

5/8 are adults and the rest are children.

How many adults and children are in the hotel?

• Question 1

A class has 24 children.

3/4 are girls.

How many girls are in the class?

18
EDDIE SAYS
1/4 of 24 = 24 ÷ 4 = 6.
3 × 6 = 18
• Question 2

A class has 24 children.

3/4 are girls.

How many boys are in the class?

6
EDDIE SAYS
1/4 of 24 = 24 ÷ 4 = 6.
• Question 3

35 children go on a school trip.

3/5 are girls.

How many girls go on the trip?

21
EDDIE SAYS
1/5 of 35 = 35 ÷ 5 = 7.
3 × 7 = 21
• Question 4

35 children go on a school trip.

3/5 are girls.

How many boys go on the trip?

14
EDDIE SAYS
1/5 of 35 = 35 ÷ 5 = 7.
2 × 7 = 14
• Question 5

Jack and Jill pick 40 apples.

Jack takes 3/4 of them and Jill takes the rest.

How many do they each take?

 No. of Apples Jack Jill
EDDIE SAYS
1/4 of 40 = 40 ÷ 4 = 10.
3/4 of 40 = 3 × 10 = 30.
• Question 6

Jack and Jill pick 40 apples.

Jack takes 3/5 of them and Jill takes the rest.

How many do they each take?

 No. of Apples Jack Jill
EDDIE SAYS
1/5 of 40 = 40 ÷ 5 = 8.
3/5 of 40 = 3 × 8 = 24.
2/5 of 40 = 2 × 8 = 16.
• Question 7

Amy and Ben drive 80 miles.

Amy drives 3/4 of the way and Ben drives the rest.

How many miles do they each drive?

 Miles Amy Ben
EDDIE SAYS
1/4 of 80 = 80 ÷ 4 = 20.
3/4 of 80 = 3 × 20 = 60.
• Question 8

Amy and Ben drive 56 miles.

Amy drives 3/7 of the way and Ben drives the rest.

How many miles do they each drive?

 Miles Amy Ben
EDDIE SAYS
1/7 of 56 = 56 ÷ 7 = 8.
3/7 of 56 = 3 × 8 = 24.
4/7 of 56 = 4 × 8 = 32.
• Question 9

A school has 240 children.

3/8 are girls.

How many boys and girls are in the school?

 Number Boys Girls
EDDIE SAYS
1/8 of 240 = 240 ÷ 8 = 30.
3/8 of 240 = 3 × 30 = 90.
5/8 of 240 = 5 × 30 = 150.
• Question 10

A hotel has 320 guests.

5/8 are adults and the rest are children.

How many adults and children are in the hotel?

EDDIE SAYS
1/8 of 320 = 320 ÷ 8 = 40.
3/8 of 320 = 3 × 40 = 120.
5/8 of 320 = 5 × 40 = 200.
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