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Ratios and Rates
What is a ratio?
 A ratio is a comparison of two numbers by
division.
 The ratio of the number 2 to the number 3
can be written in these three ways:
2 to 3, 2:3, or 2/3.
 Ratios are often expressed as fractions in
simplest form or as decimals.
Time for practice!
Express each ratio or rate as a fraction
in the simplest form.
1.
2.
3.
4.
5.
6.
10:35
60:20
3 to 39
8 out of 14
18 boys to 15 girls
16 blue to 4 green
What is a rate?
 A rate is a special ratio that compares
two measurements with different
units of measure, such as miles per
gallon or cents per pound.
 A rate with a denominator of 1 is
called a unit rate.
Time for Practice!
Express each ratio as a unit rate.






294 miles on 10 gallons
$0.72 for 12 ounces
$3.88 for 2 pounds
3.4 inches of rain in 2 months
200 meters in 23.5 seconds
$21 for a half dozen roses
Find the following ratios by polling
students in our classroom:
 Boys vs. girls in the classroom
 Brown eyes vs. blue/green eyes
 Students who like math vs. those who
do not
 Students wearing jeans vs. another
type of pant/shorts
 Students with pierced ears vs. not
pierced