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Answer:

The correct answer is,he equivalent proportion of a/8 is b/15.

[tex]\frac{a}{8}=\frac{b}{15}[/tex]

Step-by-step explanation:

It is given that,

[tex]\frac{a}{b}=\frac{8}{15}[/tex]

In both sides have fractions.

To find equivalent proportion of  [tex]\frac{a}{8}[/tex]

we have,

[tex]\frac{a}{b}=\frac{8}{15}[/tex]

To find a/8 we have to cross multiply the above fractions.

a * 15 =8 * b

[tex]\frac{a}{8}=\frac{b}{15}[/tex]

Therefore the equivalent proportion of a/8 is b/15

The correct answer is b/15.

The ratio that completes the equivalent proportion of a/8 = b/15

We are given the proportion that a/b = 8/15. The first thing to do is to cross multiply the given expression. Then, we can have:

15a = 8b

We are to find an equivalent proportion to a/8. So, from 15a = 8b, we are going to make (a) the subject of the equation and replace the value of (a) derived into a/8.

a = 8b/15

Replacing the value of (a) into a/8, we have:

= 8b/15 ÷ 8

= 8b/15 × 1/8

= b/15

Therefore, we can conclude that the ratio that completes the equivalent proportion of a/8 = b/15

Learn more about proportions here:

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