Given the proportion a/b =8/15, what ratio completes the equivalent proportion a/8=?

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JackelineCasarez JackelineCasarez · Answer 1 · 2019-01-28T10:49:50+01:00

Answer:

[tex]The\ ratio\ completes\ the\ equivalent\ proportion\ \frac{a}{8}= \frac{b}{15}.[/tex]

Step-by-step explanation:

As given the proporation equation in question be as follows .

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

Thus

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

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

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

[tex]Therefore\ the\ ratio\ completes\ the\ equivalent\ proportion\ \frac{a}{8}= \frac{b}{15}.[/tex]

boffeemadrid boffeemadrid · Answer 2 · 2019-03-07T17:27:01+01:00

Answer:

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

Step-by-step explanation:

Given: The proportion [tex]\frac{a}{b}=\frac{8}{15}[/tex].

To find: what ratio completes the equivalent proportion [tex]\frac{a}{8}[/tex].

Solution: The given proportion is:

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

Multiplying b on both the sides of the given proportion, we have

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

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

Now, dividing by 8 on both sides, we get

[tex]\frac{a}{8}=\frac{8b}{15}{\times}\frac{1}{8}[/tex]

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

which is the required equivalent proportion.