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Fraction red =Fraction green =Fraction yellow = 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. Red:Green =Green:Red =Red:Yellow =Yellow:Red =Green:Yellow = 3:4 4:3 3:5 5:3 4:5 Yellow:Green = 5:4 Reads as Red to Green equals 3 to 4. The order is important. There is a close relationship between fractions and ratios. The diagram below should help make this link become clear. 12 parts Ratio

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

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

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 A Picture Dogs:Teddies = 3 dogs for every 2 teddies. 3:2 Equivalently  by 2

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

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

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

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

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