# 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

Solution:
= 5/11 + 41/8

= ((5 × 8) + (41 × 11)) / (11 × 8)

= (40 + 451) / 88

= 491/88

= 491/88

= 5 51/88

Solution:
= 23/9 + 31/3

= ((23 × 3) + (31 × 9)) / (9 × 3)

= (69 + 279) / 27

= 348/27

= 116/9

= 12 8/9

Example 3:

Solution:
= 6/5 − 4/8

= ((6 × 8) − (4 × 5)) / (5 × 8)

= (48 – 20) / 40

= 28/40

= 7/10

Example 4:

Solution:

= 94/11 − 10/12

= ((94 × 12) − (10 × 11)) / (11 × 12)

= (1128 – 110) / 132

= 1018/132

= 509/66

= 7 47/66

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