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Express the ratio 76 : 44 : 8 in its lowest terms.

User Alexbayker
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1 Answer

5 votes

Answer:

19 : 11 : 2

Explanation:

You want to express the ratio 76 : 44 : 8 in lowest terms.

Lowest terms

The ratio is expressed in lowest terms when the numbers have no common factor. The greatest common factor of the numbers here is 4, so dividing these numbers by 4 gives the desired ratio.

{76, 44, 8} ÷ 4 = {19, 11, 2}

The ratio in lowest terms is 19 : 11 : 2.

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Additional comment

You can find the greatest common divisor several ways. One of them is to factor the given numbers:

76 = 2² · 19

44 = 2² · 11

8 = 2³

The greatest common divisor is 2² = 4.

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User Jerryf
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