Ratio/Unit Rates/Equivalent Ratios

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What is a ratio?

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A ratio is a comparison of two quantities expressed as a fraction, using a colon, or in words.

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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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What is a unit rate?

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A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed in terms of 'per'.

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CCSS.6.RP.A.1

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How do you find the unit rate from a total amount earned over time?

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To find the unit rate, divide the total amount earned by the total time taken.

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What is the ratio of 50 to 35 in simplest form?

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The simplest form of the ratio 50:35 is 10:7.

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If Alycia earned $20.40 in 3 hours, what is her unit rate?

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Alycia's unit rate is $6.80 per hour.

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What does it mean for two ratios to be equivalent?

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

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CCSS.6.RP.A.3A

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How can you express the ratio of 35:14 in simplest form?

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The simplest form of the ratio 35:14 is 5:2.

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What is the importance of understanding ratios in real-life applications?

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Understanding ratios helps in making comparisons, analyzing relationships, and solving problems in various contexts such as cooking, finance, and statistics.

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CCSS.6.RP.A.3B

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How do you convert a ratio into a fraction?

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To convert a ratio into a fraction, write the first quantity as the numerator and the second quantity as the denominator.

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