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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.A.3

Use ratio and rate reasoning to solve real-world and mathematical problems, e.g. By reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

6.RP.A.3a

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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