Addition and Subtraction of Mixed Numbers

Mixed Fraction Addition & Subtraction Problems with Solution

 Mixed Fraction/ Mixed  Number :

A whole number and a fraction combined into one “mixed” number is known as mixed fraction.

For Example- 2½ ( 2 and a half is a mixed fraction or mixed number )

Adding and Subtracting Fractions

Steps For Adding or Subtracting mixed numbers:

1. Find the Least Common Denominator (LCD)

2. Find the equivalent fractions.

3. Add or subtract the fractions and add or subtract the whole numbers.

4. Write your answer in lowest terms.

Mixed Fraction Addition and Subtraction Problems

Example 1: Add

mixed fraction6

 

 

Solution:
= 5/11 + 41/8

= ((5 × 8) + (41 × 11)) / (11 × 8)

= (40 + 451) / 88

= 491/88

= 491/88

= 5 51/88

 

Example 2: Add

mixed fraction7

 

 

Solution:
= 23/9 + 31/3

= ((23 × 3) + (31 × 9)) / (9 × 3)

= (69 + 279) / 27

= 348/27

= 116/9

= 12 8/9

 

Example 3:

mixed fraction5

 

 

Solution:
= 6/5 − 4/8

= ((6 × 8) − (4 × 5)) / (5 × 8)

= (48 – 20) / 40

= 28/40

= 7/10

 

Example 4:

mixed fraction4

 

 

Solution:

= 94/11 − 10/12

= ((94 × 12) − (10 × 11)) / (11 × 12)

= (1128 – 110) / 132

= 1018/132

= 509/66

= 7 47/66

watch the video below if you have any doubts or you want to learn more on Mixed  Fraction Addition & Subtraction

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