Transcript Ratios & Unit Rates

Ratios & Unit Rates
6.1-6.2
Ratio
•
A ratio is a comparison of two numbers
by division. Each number in a ratio is
called a term.
• There are three ways to write ratios.
Ex: 6 cups parts mix to 2 cups pretzels
1. 6 to 2 (words)
2. 6:2 (With a symbol)
3. 6/2 (As a fraction)
Example 1: 3 Ways to
Write a Ratio
PARTY MIX
Makes 6 Cups
• 4 cups cereal
• 2 cups pretzels
• 3 tbsp
Worcestershire Sauce
Use the party mix recipe at
the left. Write each
ratio in 3 ways.
a. Amount of cereal to
amount of pretzels
b. Amount of cereal to
amount of party mix
c. Amount of pretzels to
cereal
d. Amount of pretzels to
party mix
Example 1 answers
a.
b.
c.
d.
4 to
4 to
2 to
2 to
2, 4:2, 4/2
6, 4:6, 4/6
4, 2:4, 2/4
6, 2:6, 2/6
Equal Ratios
• Two ratios that name the same
number are equal ratios. You can find
equal ratios by multiplying or dividing
each term of a ratio by the same
nonzero number
Example 2: Writing Equal
Ratios
• Write two different ratios equal to
4/6
4:6
4:6
DIVIDE BY 2
x3
x3
2:3
12:18
Write two different ratios
equal to each ratio.
a. 10/35
b. 12:3
c. 8 to 22
Answers
a. 2/7, 20/70
b. 4:1, 8:2
c. 4 to 11, 16 to 44
Ratios in Simplest Form
12 baseballs and 8 baseball bats
There are 8 bats and 12 balls, so the
ratio of bats to balls is 8 to 12.
Divide by 4
8/12 = 2/3
Example 3: Ratios in
Simplest Form
Write each ratio in simplest form.
a. 4:20
b. 50:45
c. 39/3
Example 3 answers:
a. 1:5
b. 10 to 9
c. 13/1
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