Using Benchmark Fractions to Estimate Sums & Differences

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What is a benchmark fraction?

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A benchmark fraction is a simple fraction that is used as a reference point to estimate the value of other fractions. Common benchmark fractions include 0, 1/2, and 1.

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CCSS.3.NF.A.1

CCSS.3.NF.A.2B

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How do you estimate the sum of fractions using benchmark fractions?

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To estimate the sum of fractions, replace each fraction with the nearest benchmark fraction (0, 1/2, or 1) and then add the benchmark fractions together.

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CCSS.5.NF.A.1

CCSS.5.NF.A.2

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CCSS.4.NF.A.2

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CCSS.5.NF.B.5B

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CCSS.4.NF.C.7

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CCSS.5.NF.A.1

CCSS.5.NF.A.2

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What is the purpose of using benchmark fractions?

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The purpose of using benchmark fractions is to simplify the process of estimating sums and differences of fractions, making it easier to solve problems quickly.

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How can you determine which benchmark fraction a given fraction is closest to?

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To determine which benchmark fraction a given fraction is closest to, convert the fraction to a decimal and compare it to the decimal values of the benchmark fractions (0, 0.5, 1).

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CCSS.4.NF.A.2

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CCSS.4.NF.A.2