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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