6.1 Ratios And Rates Worksheet - Professor Busken

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Professor Busken – 6.1 Ratios and Rates
1
Objectives:
A Write Ratios as Fractions
C Find Unit Rates
B Write Rates as Fractions
D Find Unit Prices
Definition 1. A ratio is the quotient of two quantities. We write the ratio of 3 to 4 as
3
3 to 4 or
or 3:4.
4
However, we will use fraction notation to write ratios. Suppose a and b are both nonzero
a
b
numbers. The ratio of a to b is
not
.
b
a
Write each ratio as a fraction in simplest form.
1.
6 to 24
1.
2.
2 to 12
2.
2
13
3.
2
to 1
3.
3
15
4.
1.68 miles to 4.8 miles
4.
5.
37 gallons to 0.001 gallons
5.
6.
1.6 meters to 0.16 meters
6.
Definition 2. A rate is a special type of kind of ratio. It is used to compare different
kinds of quantities. Whenever we write rates as fractions we always include the units.
For example, a recreational runner can run 4 miles in 44 minutes. We can write this rate
as the fraction
4 miles
1 miles
=
.
44 minutes
11 minutes
Write each rate as a fraction in simplest form.
7.
295 miles on 15 gallons
7.

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