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1. Write "Yes" on the line below if the ratios are equivalent ratios, "No" if not.

a. 5:6 and 6:5 ________________


b. 18 : 9 and 6:3 _______________


c. 36: 100 and 108: 300______________


Sagot :

  1. No
  2. Yes
  3. Yes

We're asked to write if the following ratios are equal or not. To do this, we'll first simplify them if we can.

Problem 1

[tex]\sf 5:6 \ and \ 6:5[/tex]

Both of these ratios are in their simplest form, and we can see that they're not equal.

Problem 2

[tex]\sf 18:9 \ and \ 6:3[/tex]

Simplify each of these ratios.

Divide both sides of the first ratio by 9.

[tex]\sf 2:1[/tex]

Divide both sides of the second ratio by 3.

[tex]\sf 2:1[/tex]

As we can see, these ratios are equal.

Problem 3

[tex]\sf 36:100 \ and \ 108:300[/tex]

Divide the first one by 4

[tex]\sf 9:25[/tex]

Divide the second one by 2:

[tex]\sf 54:150[/tex]

Divide by 2 again:

[tex]\sf 27:75[/tex]

Finally, divide by 3:

[tex]\sf 9:25[/tex]