Ratios, Rates, and Unit Rates

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What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 y'. For example, if there are 1500 students and 75 classrooms, the unit rate is 20 students per classroom.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you express a ratio as a fraction in simplest form?

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To express a ratio as a fraction in simplest form, divide both terms of the ratio by their greatest common divisor (GCD). For example, the ratio 18 ounces to 3 cups simplifies to 6 to 1.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of red marbles to yellow marbles if there are 2 red and 5 yellow marbles?

Back

The ratio of red to yellow marbles is 2 to 5.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you calculate the ratio of a part to the whole?

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To calculate the ratio of a part to the whole, divide the number of parts by the total number of parts. For example, if there are 4 apples, 2 bananas, and 5 pears, the total is 11 fruits, and the ratio of pears to all fruit is 5:11.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If Jenna can make 4 baskets in 1/2 hour, how many baskets can she make in 1 hour?

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In 1 hour, Jenna can make 8 baskets because she doubles the amount she can make in 1/2 hour.

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CCSS.6.RP.A.3B

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What is the formula for finding a unit rate?

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The formula for finding a unit rate is: Unit Rate = Total Quantity / Number of Units. For example, if you have 1500 students and 75 classrooms, the unit rate is 1500 / 75 = 20.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean to simplify a ratio?

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Simplifying a ratio means reducing it to its simplest form by dividing both terms by their greatest common factor.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the total number of items in a ratio?

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To find the total number of items in a ratio, add the parts of the ratio together. For example, in the ratio of 3 blue, 2 red, and 5 yellow marbles, the total is 3 + 2 + 5 = 10.

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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 term of the ratio is the numerator and the second term is the denominator.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the part by the whole and multiply by 100. For example, if there are 2 red marbles out of 10 total marbles, the percentage of red marbles is (2/10) * 100 = 20%.