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.

Related Concept

Fraction of a Whole Numbers

Representation of a Fraction

Equivalent Fractions

Properties of Equivalent Fractions

Like and Unlike Fractions

Comparison of Like Fractions

Comparison of Fractions having the same Numerator

Types of Fractions

Changing Fractions

Conversion of Fractions into Fractions having Same Denominator

Conversion of a Fraction into its Smallest and Simplest Form

Addition of Fractions having the Same Denominator

Subtraction of Fractions having the Same Denominator

Addition and Subtraction of Fractions on the Fraction Number Line



4th Grade Math Activities

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