Question

What are two ratios that are equivalent to 27:9

Answer 1

The given ratio is $27:9$

we are supposed ratios equivalent to the given ratio.

The equivalent ratios can be found in two ways.

Either multiplying the numerator and denominator by a number or by dividing the numerator and denominator by a number.

Lets re-write the given ratio as below

$27:9=\frac{27}{9}\\ \\ \text{Divide numerator and denominator by 3 we get}\\ \\ \frac{27}{9} = \frac{9}{3} \Rightarrow \text{Ratio is } 9:3\\ \\ \text{Now again divide numerator and denominator by 3 we get}\\ \\ \frac{9}{3} =\frac{3}{1} \Rightarrow \text{Ratio is } 3:1\\ \\\\\text{Hence the two equivalent ratios are }9:3 \ and \ 3:1.$

Answer 2

For this case we have the following relationship:
 27:9
 To find two equivalent relationships, what we must do is divide both numbers by a number that is multiple of both.
 We then have to divide by three:
 9:3
 Then, dividing again between three we have:
 3:1
 Answer:
 two ratios that are equivalent to 27:9 are:
 Ratio 1:
 9:3
 Ratio 2:
 3:1