# 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

**Solution:**

= 5/11 + 41/8

= ((5 × 8) + (41 × 11)) / (11 × 8)

= (40 + 451) / 88

= 491/88

= 491/88

= 5 51/88

**Example 2:** Add

**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

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