Question

`(2)/(3) = (16)/(24)`

Determine if the following ratios form a porportion.

Answer 1

Yes; the following ratios:
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`(2)/(3) = (16)/(24)` ;
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do, in fact, form a proportion.
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Note that the fraction, or proportion, "
`(2)/(3)`", cannot be reduced further into whole numbers.
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We are given:
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`(2)/(3) = (16)/(24)` .
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The question is: Can "
`(16)/(24)`" be further reduced into whole numbers—specifically, does "
`(16)/(24)`" EQUAL "
`(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,
`(2)/(3) = (16)/(24)` ; and the following ratios:


`(2)/(3) = (16)/(24)` ;

form a proportion.
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Also, given:


`(2)/(3) = (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;

→
`(2)/(3) = (16)/(24)` ; do, in fact, form a proportion.
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Answer 2

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