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3.02 Equivalent and simplified ratios

Interactive practice questions

Complete the table of equivalent ratios and use it to answer the following questions.

a
Dogs to Cats
$9$9 : $5$5
$18$18 : $10$10
$27$27 : $\editable{}$
$45$45 : $\editable{}$
$\editable{}$ : $50$50
b

If there are $270$270 dogs, how many cats are there expected to be?

$150$150

A

$30$30

B

$270$270

C

$266$266

D
c

Which of the following is the fully simplified ratio for $270:150$270:150?

$135:75$135:75

A

dogs$:$:cats

B

$2:1$2:1

C

$9:5$9:5

D
Easy
2min

Simplify the ratio $45:35$45:35

Easy
< 1min

Simplify the ratio $35:5$35:5

Easy
< 1min

Write $450$450 to $350$350 as a fully simplified ratio.

Easy
< 1min
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Outcomes

6.RP.3

Use ratio and rate reasoning to solve real-world (with a context) and mathematical (void of context) problems, using strategies such as reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations involving unit rate problems.

6.RP.3.a

Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

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