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2. Compare the parts into which an object is divided with each other.
Ratio
There is a close relationship between fractions and ratios. The diagram below should help make this link become clear.
Fractions
Compare the parts into which an object is divided with the whole object.
Ratios
Compare the parts into which an object is divided with each other.
Fraction red =
Red:Green =
3:4
Reads as
Red to Green equals 3 to 4.
The order is important.
Green:Red =
4:3
Red:Yellow =
Fraction green =
3:5
Yellow:Red =
5:3
Green:Yellow =
4:5
Fraction yellow =
12 parts
Yellow:Green =
5:4

3. Compare the parts into which an object is divided with each other.
Ratio
Ratios
Compare the parts into which an object is divided with each other.
State the following ratios for the diagram above.
15 parts
Red:Green =
8:3
8 red squares for every 3 green squares.
Yellow:White =
3:1
3 yellow squares for every 1 white square.
Green:Yellow =
3:3
3 green squares for every 3 yellow squares.
White:Red =
1:8
1 white square for every 8 red squares.
Red:White =
8:1
8 red squares for every 1 white square.

4. The Toy Box
16 parts
State the following ratios for the toys in the box.
Dogs:Teddies =
6:4
6 dogs for every 4 teddies.
Clowns:Ducks =
3:2
3 clowns for every 2 ducks.
Soldiers:Clowns =
1:3
1 soldier for every 3 clowns.
Ducks:Teddies =
2:4
2 ducks for every 4 teddies.
Dogs:Clowns =
6 dogs for every 3 clowns.
6:3

5. The Toy Box
16 parts
Ratios can be simplified in the same way as fractions. Divide both sides by the Highest Common Factor (HCF).
Dogs:Teddies =
6 dogs for every 4 teddies.
6:4
Dogs:Teddies =
3 dogs for every 2 teddies.
3:2
Equivalently
 by 2
A Picture

6. The Toy Box
Ratios can be simplified in the same way as fractions. Divide both sides by the Highest Common Factor (HCF).
20 parts
Clowns:Ducks =
9:6
9 clowns for every 6 ducks.
Clowns:Ducks =
3 clowns for every 2 ducks.
3:2
Equivalently
 by 3
A Picture

7. 24 parts Write the following ratios in simplest form. Hearts Clubs
Diamonds
Spades
24 parts
Hearts: Clubs =
12:6
= 2:1

8. 24 parts Hearts Clubs Diamonds Spades
Write the following ratios in simplest form.
Spades: Clubs =
2:6
= 1:3

9. 24 parts Write the following ratios in simplest form. Hearts Clubs
Diamonds
Spades
24 parts
Clubs: Diamonds =
6:4
= 3:2

10. Write the following Ratios in Simplest Form
6: 8
12: 8
6: 9
12: 6
8: 8
5: 20
12: 18
45: 54
 by 2
 by 4
 by 3
 by 6
3: 2
2: 3
2: 1
3: 4
 by 8
 by 5
 by 6
 by 9
1: 1
1: 4
2: 3
5: 6