Question

What are three equivalent ratio for 12/14

Answer 1

12/14  can be simplified, and that would be an equivalent ratio.  Divide 12 and 14 both by 2, and then you get 6/7.

Another equivalent ratio is 120/140.  To get this ratio, I merely multiplied both the numerator and denominator of the ratio by 10.

You can get an infinite amount of equivalent ratios for 12/14.  All you have to do is make sure that whatever you multiply one part of the ratio by, you have to multiply the other part of the ratio by the same thing.

A final example is 60/70.  I just multiplied both 12 and 14 by 5.

Answer 2

For this case we have the following expression:

$\frac{12}{14}$

What we must do is rewrite this expression in an equivalent way.

To do this, we multiply the numerator and the denominator of the fraction by the same factor.

We have then:

For k = 1/2:

$\frac{12}{14}*\frac{\frac{1}{2}}{\frac{1}{2}} = \frac{6}{7}$

For k = 2:

$\frac{12}{14} *\frac{2}{2} = \frac{24}{28}$

For k = 3:

$\frac{12}{14} *\frac{3}{3} = \frac{36}{42}$

Answer:

Three equivalent ratio for 12/14 are:

$\frac{6}{7}$

$\frac{24}{28}$

$\frac{36}{42}$