Ratio

Ratio, Rates

Vocabulary:

Rate

Rate is a special ratio that compares two quantities. Often uses units such as miles, gallons or dollars to describe the rate.

Unit Rate

Unit Rate a unit rate compares a quantity to one. Rates can be simplified to be unit rates.

Rates Lesson

Ratio Lesson

What is a Ratio?

A ratio shows the relative sizes of two or more values.

Ratios can be shown in different ways. Using the ":" to separate example values, or as a single number by dividing one value by the total.

Example: if there is 1 boy and 3 girls you could write the ratio as:

1:3 (for every one boy there are 3 girls)
1/4 are boys and 3/4 are girls
0.25 are boys (by dividing 1 by 4)
25% are boys (0.25 as a percentage)

Ratio Lesson

The total bagel sales at a bagel shop for Monday is in the table below.

A ratio is a way to compare two numbers. Ratios can be written in three ways.

We always reduce ratios just like fractions. When two or more ratios reduce to the same ratio they are called equivalent ratios. For example, 50:250 and 2:10 are equivalent ratios because they both reduce to 1:5.

One common use of ratios is as a way to convert measurements.

EXAMPLE A
There are 14 girls and 18 boys in your math class.
What is the ratio of girls to boys?

Remember that order matters.
The question asked for the ratio of girls to boys.
The ratio would be 14:18.
This can be simplified to 7:9.

All About Ratios - Quiz

Type of Bagel

Plain

Cinnamon Raisin

Sesame

Jalapeño Cheddar

Everything

Honey Wheat

Number Sold

80

30

25

20

45

50

1. What is the ratio of cinnamon raisin bagels to plain bagels?

2. What is the ratio of honey wheat bagels to total bagels sold?

3. What is the ratio of cinnamon raisin bagels to sesame bagels to jalapeno cheddar bagels?

Practice

The votes for president in a club election were:
Smith: 24
Munoz: 32
Park: 20

Find the following ratios and write in simplest form.

Votes for Munoz to Smith

Votes for Park to Munoz

Votes for Smith to total votes