5.3 Estimating Sums and Differences of Fractions

Mia uses 1/5 of a bag of gravel in the morning and 11/12 of a bag in the afternoon. About how much gravel does she use in one day?

• 0 bags

• 1/2 of a bag

• 1 bag

• 2 1/2 bags

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Evaluate Reasonableness Hector and Veronica are going hiking. They made a trail mix that has 2/3 cup of almonds, 7/8 cup of peanuts, and 4/5 cup of raisins in it. Hector estimates that they made about 3 cups of trail mix. Is the estimate greater than or less than the actual sum? How do you know?

• The estimate is greater because each fraction is rounded up to a benchmark.

• The estimate is less because each fraction is rounded down to a benchmark.

• The estimate is greater because they really made more than 3 cups.

• The estimate is less because each fraction is rounded up to a benchmark.

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Multi-Step Amanda picked 3/5 pound of blueberries at her local farm yesterday. She used 3/8 pound of blueberries. Today she picked 4/5 pound of blueberries. About how many pounds of blueberries does Amanda have now?

• 1/5 lb

• 1/2 lb

• 1 lb

• 1 1/2 lbs

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Jake added 1/8 cup of sunflower seeds and 4/5 cup of banana chips to hissundae. Which is the best estimate of the total amount of toppings Jake added to his sundae?

• about 2 cups

• about 1 cup

• about 1 1/2 cups

• about 1/2 cup

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3/8 + 4/5 =

• 1 1/2

• 1

• 0

• 2

• 1/2

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9/10 - 3/8 =

• 1 1/2

• 1

• 0

• 2

• 1/2

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5/8 + 2/5 =

• 1 1/2

• 1

• 0

• 2

• 1/2

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6/7 + 3/5 =

• 1 1/2

• 1

• 0

• 2

• 1/2

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3/8 - 1/6 =

• 1 1/2

• 1

• 0

• 2

• 1/2

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7/12 + 1/7 =

• 1 1/2

• 1

• 0

• 2

• 1/2

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