Defining Equivalent Ratios

Student Summary

All ratios that are equivalent to a:ba:b can be made by multiplying both aa and bb by the same number.

For example, the ratio 18:1218:12 is equivalent to 9:69:6 because both 9 and 6 are multiplied by the same number: 2.

<p>Diagram of two stacked ratios. At top, 9 to 6. At bottom, 18 to 12. In between, 2 downward arrows each labeled times 2. </p>

3:23:2 is also equivalent to 9:69:6, because both 9 and 6 are multiplied by the same number: 13\frac13.

<p>Equivalent ratio diagram</p>

Is 18:1518:15 equivalent to 9:69:6?

No, because 18 is 9⋅29 \boldcdot 2, but 15 is not 6⋅26 \boldcdot 2.

Ratio diagram

Visual / Anchor Chart

Standards

Addressing
6.RP.1

6.RP.A.1

6.RP.1

6.RP.A.1

Building Toward
6.RP.1

6.RP.A.1