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Subtracting Fractions
With borrowing
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Just like in whole number subtraction, sometimes you need to borrow when subtracting fractions.
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Example 1: Whole number – mixed number
If you order 5 pizzas and your family eats 3 and 2/5 of them, how much pizza is left?
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Always write the equation vertically:
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Start with 5 pizzas:
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Uh, oh! I can’t take 2/5 of a pizza from nothing!
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That’s OK! Take one pizza and turn it from a whole pizza into one with five slices! Now you have four whole pizzas and one whole pizza split into five slices!
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Now just subtract!
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Answer: We have 1 and 3/5 of a pizza left.
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Example 2: Mixed number – Mixed number
Maria’s family had a party and her mom made lasagnas. At the end of the night there were 4 and 5/8 pans of lasagna left. Maria’s mom packed up 2 and ¾ pans for her grandparents and cousins to take home. How much did they have left to eat for leftovers the next day?
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Start with 4 and 5/8 pans of lasagna.
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Uh, oh! I can’t subtract fractions with unlike denominators!
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First, convert the fractions to have the same denominator.
In this case, the least common denominator is 8.
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Uh, oh! I can’t take 6/8 away from 5/8!
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Now, you need to borrow a whole from the four and make it into eighths.
You already have 5/8, so adding 8/8 will give you 13/8. 1 2 9 10 3 4 11 12 5 6 13 7 8
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Set up your equation and subtract!
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Answer: Maria will have 1 and 7/8 of a pan of lasagna left for leftover night.
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Now you try!
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