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