# How to Add Mixed Numbers? (+FREE Worksheet!)

Fractions greater than $$1$$ are usually represented as mixed numbers. Join us in this post to learn more about mixed numbers and how to add them.

Fractions greater than $$1$$ are usually represented as mixed numbers. In this case, the mixed number consists of an integer part and a standard fraction less than $$1$$. The integer part is the same as the quotient part; the fraction’s numerator is the remainder of the division, and the fraction’s denominator will also be the divisor.

## Step-by-step Guide to Adding Mixed Numbers

The addition of mixed numbers is very similar to the addition of integers and has two forms:

1- Adding mixed numbers when their denominators are the same:

Adding mixed numbers when the denominators of fractions are the same is always simple.

• Step 1: Add the integers together.
• Step 2: Add the numerator of the fractions together.
• Step 3: If the sum of fractions becomes an improper fraction, convert it to a mixed number and write the answer.

2- Adding mixed numbers when their denominators are different:

The most difficult type of addition of mixed numbers is when the denominators of the fractions are different.

• Step 1: Add the integers together.
• Step 2: Add the fractions together: In this section, you must first find the Least Common Denominator (LCD), and then you can add the numerator of the fractions together.
• Step 3: If the sum of fractions becomes an improper fraction, convert it to a mixed number and write the answer.

The Absolute Best Books to Ace Pre-Algebra to Algebra II

Original price was: $89.99.Current price is:$49.99.

### Adding Mixed Numbers – Example 1:

Add mixed numbers. $$1 \ \frac{1}{2} \ + \ 2 \ \frac{2}{3}=$$

Solution:

Rewriting our equation with parts separated, $$1+\frac{1}{2}+2+\frac{2}{3}$$,

Solving the whole number parts $$1+2=3$$,

Solving the fraction parts $$\frac{1}{2}+\frac{2}{3}$$, and rewrite to solve with the equivalent fractions.

$$\frac{1}{2} + \frac{2}{3}$$$$=$$$$\frac{(1)({3} ) \ + \ (2){(2} )}{2 × 3} =\frac{3 \ + \ 4}{6}=\frac{7}{6} =1 \ \frac{1}{6}$$, then combining the whole and fraction parts $$3+1+\frac{1}{6}=4 \ \frac{1}{6}$$

### Adding Mixed Numbers – Example 2:

Add mixed numbers. $$2 \ \frac{1}{4} \ + \ 1 \ \frac{2}{5}=$$

Solution:

Rewriting our equation with parts separated, $$2+\frac{1}{4}+1+\frac{2}{5}$$,

Solving the whole number parts $$2+1=3$$,

Solving the fraction parts $$\frac{1}{4}+\frac{2}{5}$$, and rewrite to solve with the equivalent fractions.

$$\frac{1}{4} + \frac{2}{5}$$$$=$$ $$\frac{(1)({5} ) \ + \ (2){(4} )}{4 × 5} =\frac {5+8} {20} =\frac {13} {20}$$ , then combining the whole and fraction parts $$3+\frac{13}{20}=3 \ \frac{13}{20}$$

### Adding Mixed Numbers – Example 3:

Add mixed numbers. $$1 \ \frac{3}{4} \ + \ 2\ \frac{3}{8}=$$

Solution:

Rewriting our equation with parts separated, $$1+\frac{3}{4}+2+\frac{3}{8}$$,

Solving the whole number parts $$1+2=3$$, Solving the fraction parts $$\frac{3}{4}+\frac{3}{8}$$, and rewrite to solve with the equivalent fractions.

$$\frac{3}{4} \ + \frac{3}{8}=$$ $$\frac{(3 × 2) \ + \ 3}{8}$$$$=\frac {6+3} {8} =\frac{9}{8}=1 \ \frac{1}{8}$$ , then combining the whole and fraction parts $$3+1+\frac{1}{8}=4 \frac{1}{8}$$

Original price was: $24.99.Current price is:$14.99.
Satisfied 92 Students

### Adding Mixed Numbers – Example 4:

Add mixed numbers. $$1 \ \frac{2}{3} \ + \ 4\ \frac{1}{6}=$$

Solution:

Rewriting our equation with parts separated, $$1+\frac{2}{3}+4+\frac{1}{6 }$$,

Solving the whole number parts $$1+4=5$$, Solving the fraction parts $$\frac{2}{3}+\frac{1}{6 }$$, and rewrite to solve with the equivalent fractions.

$$\frac{2}{3} \ + \frac{1}{6}=$$ $$\frac{(2 × 2) \ + \ 1}{6}$$$$=\frac {4+1} {6} =\frac{5}{6}$$ , then combining the whole and fraction parts $$5+\frac{5}{6}=5 \ \frac{5}{6}$$

## Exercises for Adding Mixed Numbers

1. $$\color{blue}{4 \frac{1}{2} + 5 \frac{1}{2}}$$
2. $$\color{blue}{2 \frac{3}{8} + 3 \frac{1}{8}}$$
3. $$\color{blue}{6 \frac{1}{5} + 3 \frac{2}{5}}$$
4. $$\color{blue}{1 \frac{1}{3} + 2 \frac{2}{3}}$$
5. $$\color{blue}{5 \frac{1}{6} + 5 \frac{1}{2}}$$
6. $$\color{blue}{3 \frac{1}{3} + 1 \frac{1}{3}}$$

1. $$\color{blue}{10}$$
2. $$\color{blue}{5\frac{1}{2}}$$
3. $$\color{blue}{9\frac{3}{5}}$$
4. $$\color {blue}{4}$$
5. $$\color{blue}{10\frac{2}{3}}$$
6. $$\color{blue}{4\frac{2}{3}}$$

The Greatest Books for Students to Ace the Algebra

### What people say about "How to Add Mixed Numbers? (+FREE Worksheet!) - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.

X
45% OFF

Limited time only!

Save Over 45%

SAVE $40 It was$89.99 now it is \$49.99