Ratios and Equivalent Ratios

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What is a ratio?

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A ratio is a relationship between 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 express a ratio?

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is an equivalent ratio?

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Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different (e.g., 2:3 is equivalent to 4:6).

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CCSS.6.RP.A.3A

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How can you find equivalent ratios?

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You can find equivalent ratios by multiplying or dividing both terms of the ratio by the same non-zero number.

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CCSS.6.RP.A.3A

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What is the ratio of two quantities if one quantity is zero?

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If one quantity is zero, the ratio is typically expressed as 0:1 or simply 0, indicating that there is no relationship.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you simplify a ratio?

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To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of boys to girls if there are 13 boys and 10 girls?

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The ratio of boys to girls is 13:10.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a recipe calls for 4 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

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The ratio of flour to sugar is 4:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you compare ratios?

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To compare ratios, convert them to equivalent fractions and find a common denominator or cross-multiply.

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CCSS.6.RP.A.3A

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What is the total number of pets if there are 2 dogs, 4 cats, and 5 hamsters?

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The total number of pets is 2 + 4 + 5 = 11.

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CCSS.1.OA.A.1