– 5th Grade Fractions

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Daughter is in 5th grade and I have no idea how to solve this math problem!

5 3/4 – 6 3/4

Obv you cannot subtract 5 from 6. You also can’t borrow the 3 from the 5 and make it a new mixed number. What do you borrow from? I’ve googled and seriously cannot figure this out.

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15 Answers

Anonymous 0 Comments

> 5 3/4 – 6 3/4

5.75 – 6.75

> Obv you cannot subtract ~~5~~ [6] from ~~6~~ [5].

Yes you can, the answer is -1.

> You also can’t borrow the 3 from the 5 and make it a new mixed number.

Mixed numbers only belong in cooking & construction. Convert to an improper fraction:

5 3/4 = 23/4

6 3/4 = 27/4

(23-27)/4 = -4/4 = -1

If the bottoms weren’t both a 4, you’d have to convert to get the same bottom, or to a decimal.

_____

Example:

4 2/3 – 7 3/4

4 2/3 = 14/3
7 3/4 = 31/4

Bottoms aren’t the same, so find a multiple of 3 that is also a multiple of 4, which would 12.

14/3 = 56/12
31/4 = 93/12

(56-93)/12 = -37/12 ≈ -3.10

Do double check in approximate decimal form:

4 2/3 ≈ 4.67
7 3/4 = 7.75

4.67 – 7.75 ≈ -3.10

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