Lesson 10 - 1 through 10 - 3
Ratios & Equivalent Ratios
Vocabulary:
Equivalent
equation - Ratios:
Ratios that express the same relationship.
Lesson 10 - 1 through 10 - 3
Ratios & Equivalent Ratios
equation -
You can find an equivalent ratio by
multiplying or dividing both terms of a
ratio by the same number.
Lesson 10 - 1 through 10 - 3
Ratios & Equivalent Ratios
You can use rows and columns in a multiplication table to find
equivalent ratios. The terms of the ratio 10:15 are in the 5s columns in
the multiplication table.
equation -
Pairs of numbers to the
left of the terms of the
original ratio form
equivalent ratios with
lesser terms. These are
all equivalent to 10:15.
Pairs of numbers to the
right of the terms of the
original ratio form
equivalent ratios with
greater terms. These are
all equivalent to 10:15.
Lesson 10 - 1 through 10 - 3
Ratios & Equivalent Ratios
You can use double number lines to find equivalent ratios.
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Lesson 10 - 1 through 10 - 3
Ratios & Equivalent Ratios
Example 3: Find three equivalent ratios for each of the following.
a.) 12:16
b.) 3:8
Lesson 10 - 1 through 10 - 3
Ratios & Equivalent Ratios
Example 3: Find three equivalent ratios for each of the following.
c.) 8:10
d.) 3:4
Lesson 10 - 1 through 10 - 3
Ratios & Equivalent Ratios
In the same class of 32 students, 1 of every 4 students
wears glasses. How many of the students wear glasses?
equation -
Lesson 10 - 1 through 10 - 3
Ratios & Equivalent Ratios
Example 4: In one class, 3 out of every 8 students have braces. There are 32
students in the class. How many of the students have braces?