Proportions

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What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you write a ratio?

Back

A ratio can be written in three ways: using a colon (e.g., 3:2), as a fraction (e.g., 3/2), or with the word 'to' (e.g., 3 to 2).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the simplest form of a ratio?

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean to solve a proportion?

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Solving a proportion means finding the value of a variable that makes two ratios equal.

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CCSS.7.EE.B.3

Front

If there are 4 apples and 8 oranges, what is the ratio of apples to oranges?

Back

1:2

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you simplify the ratio 10:5?

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Divide both numbers by their greatest common factor, which is 5. The simplified ratio is 2:1.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the ratio of 6 yellow LEGOs to 3 red LEGOs?

Back

2:1

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

2:3

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

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CCSS.6.RP.A.3A