RATIOSObjective: Learn to identify, write, and compare ratios and rates.

RATIOWhat is a Ratio?A ratio is a comparison of two quantities(numbers) using division

Three Ways to Write a RatioFraction With “to” With “:”

a

b to a b :a b

REMEMBER!A fraction is in simplest form when the GCF (greatest common factor) of the numerator and denominator is 1.Example:

4 : , 2,44

7

1

: 77 1,

TRY THIS!A recipe for homemade ice cream calls for 6 cups of cream, 1 cup of sugar, and 2 cups of chocolate chips. Write each ratio in all three forms.

A. Cups chocolate chips to cups of cream

B. Cups of sugar to total cups of ice cream

2,

62 to 6, 2 : 6 For every 2 cups of chocolate chips there are

6 cups of cream

Simplify

1,

31 to 3, 1: 3

6 1 2 9 Find total number of cups

1,

91 to 9, 1: 9

WRITING RATIOSSuppose Ms. McLamb drove 75 miles in 3 hours. Write the ratio of miles to hours in fraction form.

75:

3Ratio or 75 miles

3 hourThis is a rate.

EXAMPLE 1:20 students are asked to choose their favorite music genre. 8 chose pop, 7 chose hip-hop, and 5 chose rock. Write the ratios in all three forms. A. Rock to Hip-hop

B. Rock to Pop and Hip-hop

EXAMPLE 2: On average most people can read about 600 words in 3 minutes. Write the ratio of words to minutes in simplest form.

EXAMPLE 3: Honey lemon cough drops come in packages of 30 drops per 10 oz bag. Cherry cough drops come in packages of 24 drops per 6 oz bag. Which package has the greater ratio of drops to oz?