Application - Simplify Ratios

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10 Terms

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Why is simplifying ratios important?

It makes comparing quantities easier.

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What happens when large numbers are simplified in a ratio?

They are reduced to smaller numbers while keeping the same relationship.

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Example: Ratio of 18 blue cars to 21 gray cars

Write 18:21

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Step 1 in simplifying 18:21

Find the GCF of 18 and 21.

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What is the GCF of 18 and 21?

3

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Step 2 in simplifying 18:21

Divide both parts by the GCF (18 ÷ 3 = 6, 21 ÷ 3 = 7).

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What is the simplified ratio of 18 blue cars to 21 gray cars?

6:7

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What should you always do when simplifying ratios?

Simplify completely.

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Why does dividing by the GCF help?

It gets you to simplest form in one step.

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