Question

{3} = \frac{16}{24} " alt=" \frac{2}{3} = \frac{16}{24} " align="absmiddle" class="latex-formula">
Determine if the following ratios form a porportion.

Answer 1

Simplify
16/24=8/12=4/6=2/3
2/3=2/3
yes

Answer 2

Yes; the following ratios:
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  $\frac{2}{3} = \frac{16}{24}$   ;
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do, in fact, form a proportion.
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Note that the fraction, or proportion, "$\frac{2}{3}$", cannot be reduced further into whole numbers.
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We are given:  
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 $\frac{2}{3} = \frac{16}{24}$  .
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The question is: Can "$\frac{16}{24}$" be further reduced into whole numbers—specifically, does "$\frac{16}{24}$" EQUAL "$\frac{2}{3}$"  ?
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→ 16/24 =?  2/3 ?
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→ (16 ÷ 8) / (24 ÷ 8) = (2) / (3) = 2/3 . Yes.
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→  As such,  $\frac{2}{3} = \frac{16}{24}$  ; and the following ratios:

$\frac{2}{3} = \frac{16}{24}$ ;

form a proportion.
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Also, given:

$\frac{2}{3} = \frac{16}{24}$ ;
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→ If the "cross-products" are equal, then the ratios form a proportion.
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→ Does (2) * (24) =? (16) * (3) ?
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→ Does  48 =? 48  ?  Yes!
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→ As such, the following ratios;

→  $\frac{2}{3} = \frac{16}{24}$ ; do, in fact, form a proportion.
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