Do 18:12 and 3:2 express the same ratio pattern?

In this lesson you will learn to create equivalent ratios by reducing the ratios using

common factors.

Let’s Review

A ratio is a comparison between two or more quantities that are related.

18 : 12 18 to 12 18 12

A Common MistakeIf there are 8 boys and 12 girls in a

room, the ratio of boys to girls is simply 8 to 12.

Core Lesson

You have four cookies. What is the ratio of cookie pieces to frosting pieces?

8 : 44 : 22 : 1

Core Lesson

8 : 4Key Idea:Ratios can be reduced using the same logic as reducing fractions!

_ 2 _ 2 4 : 2_ 2 _ 2 2 : 1

_ 4

Core Lesson

A ratio can have smaller equivalent ratios just like a fraction can have

smaller equivalent fractions.

It is customary to express ratios in simplest form just like fractions.

8 : 4 = 2 : 1

2 : 1 is fully simplified.

In this lesson you learned to create equivalent ratios by reducing the ratios using

common factors.

Guided Practice

The ratio of green to blue candy in a party-sized bag is 42 to 14. What is the fully simplified ratio?

Extension Activities

You are creating six gift baskets. You want the ratio of apples to oranges to be 2 to 3.

How many apples do you need to buy?

How many oranges do you need to buy?

Extension Activities

The ratio of girls to boys in an auditorium is 56 to 28.

Come up with at least two ways of simplifying the ratio to its most reduced form.

Quick Quiz

The ratio of girls to boys in each group is 45 to 75. What is the simplified ratio?

You have three fruit baskets, a total of 9 oranges, and a total of 6 apples. What is the ratio of oranges to apples in each individual basket?