Page 180 - Math Course 1 (Book 1)

Converting Ratios to Fractions

Mo. 6

Lesson 1
Let’s Begin

KEY CONCEPTS:
1. Write ratios as fractions in simplest form. Write Ratios in Simplest Form
2. Determine unit rates.

Example

MO. 6 - L1a Express the ratio 10 roses out of 12
f owers as a fraction in simplest form.
Write Ratios as Fractions in ÷ 2

Simplest Form
10 = 5 Divide the numerator and
12 6 denominator by the GCF, 2.
Vocabulary A-Z

Let us learn some vocabulary ÷ 2
The ratio of roses to f owers is 5 to 6. This means
that for every 6 f owers, 5 of them are roses.

Ratio 5
Answer 6 5 : 6
is a comparison of two quantities by division.

If a gallon of paint contains 2 parts red
pain and 4 parts white paint, then the
ratio comparing the red paint to the Write Ratios as Fractions
white paint can be written as follows.
2 to 4 2 : 4
Example

Rate
Express the ratio 21 inches to 2 yards as a
fraction in simplest form.
is a ratio of two quantities having different kinds of
units. 1 yd

Miles and hours Dollars and pounds
are different are different kinds of
kind of units units
21 in.
1 yd
65 miles in 3 hours $16 for 2 pounds

Unit Rate 21 inches 21 inches Convert 2 yards to
2 yards = 72 inches inches.
When a rate is simplif ed so that it has a denomina-
tor of 1, it is called a unit rate. 21 inches Divide the numerator
=
72 inches and denominator by
the GCF, 3.

An example of a unit Written in simplest form, the ratio is 7 to 24.
rate is 35 THB per $1
7
US Dollar. Answer 24 7 : 24

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