Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between numbers, meaning they can be simplified to the same fraction.

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CCSS.6.RP.A.3A

Front

How can you determine if two ratios are equivalent?

Back

You can determine if two ratios are equivalent by cross-multiplying and checking if the products are equal.

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CCSS.6.RP.A.3A

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What is the simplest form of a ratio?

Back

The simplest form of a ratio is when the numbers are reduced to their smallest whole number values.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the equivalent ratio of 3:5 when both terms are multiplied by 2?

Back

The equivalent ratio is 6:10.

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CCSS.6.RP.A.3A

Front

If a ratio is 8:12, what is its simplest form?

Back

The simplest form is 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the relationship between equivalent ratios and fractions?

Back

Equivalent ratios can be expressed as equivalent fractions, meaning they represent the same part of a whole.

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CCSS.6.RP.A.3A

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, place the first number as the numerator and the second number as the denominator.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the equivalent ratio of 10:2 when simplified?

Back

The equivalent ratio is 5:1.

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CCSS.6.RP.A.3A

Front

If you have the ratio 4:12, what is an equivalent ratio with a denominator of 3?

Back

The equivalent ratio is 1:3.

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CCSS.6.RP.A.3A