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How do you subtract mixed fractions?

Updated: 4/28/2022
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13y ago

Best Answer

convert them to Improper Fraction

then substract them (using substraction of Fractions)

then convert back to Mixed Fractions.

consider two mixed fractions, say, ab/c and xy/z.

now u want ab/c - xy/z ?

first convert mixed fractions to improper fractions.

ab/c becomes, (ca+b)/c and xy/z becomes, (zx+y)/z.

now, (ca+b)/c-(zx+y)/z is what we want.

take LCM, {z(ca+b)-c(zx+y)}/cz

this will be the answer.

Example: What is 15 3/4 - 8 5/6 ?Convert to Improper Fractions:

15 3/4 = 63/4

8 5/6 = 53/6

Common denominator of 12:

63/4 becomes 189/12

53/6 becomes 106/12

Now Subtract:

189/12 - 106/12 = 83/12

Convert back to Mixed Fractions:

83/12 = 6 11/12

Converting improper fraction to mixed fraction:

83/12 = (72+11)/12= 6 11/12

Divide the numerator by the denominator.

Write down the whole number answer

Then write down any remainder above the denominator.

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13y ago
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12y ago

6 5 _2 3

-- ---

6 4

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