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 Fractions that have a whole number and a fraction are known as mixed fractions. Any improper fraction can be expressed as mixed numbers and mixed numbers can be expressed as improper fraction.

## Steps for Adding Mixed Fractions

Step 1 :

Change the mixed fractions into improper fractions

Step 2 :

Check the denominators of each fractions.

a) if the denominators are same, Just add the numerators and keep the denominator as same.

b) If the denominators are different, take LCM and make the denominators equal and add the numerator.

Step 3 :

Simplify the result and express the answer as a mixed number.

## Examples for Adding Mixed Fractions Calculator

1. ### Add the fraction as 2 $\frac{3}{4}$ and 5 $\frac{3}{4}$.

Step 1 :

Convert mixed fractions into improper fractions:-

2 $\frac{3}{4}$ = $\frac{8 + 3}{4}$ = $\frac{11}{4}$

and  5 $\frac{3}{4}$ = $\frac{20 + 3}{4}$ = $\frac{23}{4}$

Step 2 :

Denominator are the same, so adding the numerator = 11 + 23 = 34

Step 3 :

Fraction = $\frac{34}{4}$ = $\frac{17}{2}$ .

Mixed fraction = 8 $\frac{1}{2}$. (2 × 8 = 16, 16 + 1 = 17)

8 $\frac{1}{2}$

2. ### Add the fraction as 2 $\frac{3}{4}$ and 5 $\frac{7}{8}$.

Step 1 :

Convert mixed fractions into improper fractions:-

2 $\frac{3}{4}$ = $\frac{8 + 3}{4}$ = $\frac{11}{4}$

and 5 $\frac{7}{8}$ = $\frac{40 + 7}{8}$ = $\frac{47}{8}$

Step 2 :

Denominator are not same,

So, LCM of 8 and 4

8 × 1 = 8.

4 × 2 = 8.

So, LCM of 4 and 8 is 8.

$\frac{11}{4}$  × $\frac{2}{2}$ = $\frac{22}{8}$

$\frac{47}{8}$ * $\frac{1}{1}$ = $\frac{47}{8}$

Adding the numerator = 22 + 47 = 69

Step 3 :

Fraction = $\frac{69}{8}$.

Mixed fraction = 8 $\frac{5}{8}$ (8 × 8 = 64, 64+5 = 69)

8 $\frac{5}{8}$