Subtraction of Mixed Fractions

We will learn how to solve subtraction of mixed fractions or subtraction of mixed numbers.

There are two methods to subtract the mixed fractions.

Method I.

 6 1/3 – 3 1/12 = (6 – 3) + (1/3 – 1/12) = 3 + (1/3 – 1/12) = 3 + (1 × 4/3 × 4 – 1 × 1/12 × 1) (L.C.M. of 12 and 3 = 12) = 3 + 4/12 – 1/12 = 3 + (4 - 1)/12 = 3 + 3/12 = 3 + ¼ = 3 ¼ Step I: Subtract the whole numbers. Step II: To subtract the fractions we convert them into like fractions. Step III: Add the differences of whole numbers and like fractions.

Method II:

 6 1/3 – 3 1/12 = (6 × 3) + 1/3 + (3 × 12) + 1/12 = 19/3 – 37/12 = 19 × 4/3 × 4 – 37 × 1/12 × 1, (L.C.M. of 3 and 12 = 12) = 76/12 – 37/12 = 76 – 37/12 = 39/12 = 13/4 = 3 ¼ Step I: Change the mixed numbers into improper fractions. Step II: Make the fractions like fraction to have a common denominator. Step III: Subtract and express the fraction in the simplest form.

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