Question

Are the raitos 10:16 and 5:8 equivalent

Answer 1

Yes, It is equivalent.

Explanation:

To convert
`(10)/(16)` , so the denominator is 16, multiply the numerator and denominator by 1.

`(5*2)/(8*2)` vs
`(10*1)/(16*1)`

Now we have two fractions with the same denominator, so we can easily compare the numerators to determine if they are equal;

`(10)/(16)` vs
`(10)/(16)`

As you can see, the numerators colored in black above are the same. Therefore, the answer to "Is 5/8 equal to 10/16?" is yes!

`(5)/(8) = (10)/(16)`

Answer 2

Yes, they are equivalent, because one is just a reduced version of the other. Since they are equally balanced when reduced, they are equivalent ratios.