Basic Math Examples

5 \frac{1}{2} + 4 \frac{1}{2}

$5 \frac{1}{2} + 4 \frac{1}{2}$

Step 1

Convert

5 \frac{1}{2}

$5 \frac{1}{2}$ to an improper fraction.

Tap for more steps...

Step 1.1

A mixed number is an addition of its whole and fractional parts.

5 + \frac{1}{2} + 4 \frac{1}{2}

$5 + \frac{1}{2} + 4 \frac{1}{2}$

Step 1.2

Add

5

$5$ and

\frac{1}{2}

$\frac{1}{2}$ .

Tap for more steps...

Step 1.2.1

To write

5

$5$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

5 \cdot \frac{2}{2} + \frac{1}{2} + 4 \frac{1}{2}

$5 \cdot \frac{2}{2} + \frac{1}{2} + 4 \frac{1}{2}$

Step 1.2.2

Combine

5

$5$ and

\frac{2}{2}

$\frac{2}{2}$ .

\frac{5 \cdot 2}{2} + \frac{1}{2} + 4 \frac{1}{2}

$\frac{5 \cdot 2}{2} + \frac{1}{2} + 4 \frac{1}{2}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 2 + 1}{2} + 4 \frac{1}{2}

$\frac{5 \cdot 2 + 1}{2} + 4 \frac{1}{2}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

5

$5$ by

2

$2$ .

\frac{10 + 1}{2} + 4 \frac{1}{2}

$\frac{10 + 1}{2} + 4 \frac{1}{2}$

Step 1.2.4.2

Add

10

$10$ and

1

$1$ .

\frac{11}{2} + 4 \frac{1}{2}

$\frac{11}{2} + 4 \frac{1}{2}$

\frac{11}{2} + 4 \frac{1}{2}

$\frac{11}{2} + 4 \frac{1}{2}$

\frac{11}{2} + 4 \frac{1}{2}

$\frac{11}{2} + 4 \frac{1}{2}$

\frac{11}{2} + 4 \frac{1}{2}

$\frac{11}{2} + 4 \frac{1}{2}$

Step 2

Convert

4 \frac{1}{2}

$4 \frac{1}{2}$ to an improper fraction.

Tap for more steps...

Step 2.1

A mixed number is an addition of its whole and fractional parts.

\frac{11}{2} + 4 + \frac{1}{2}

$\frac{11}{2} + 4 + \frac{1}{2}$

Step 2.2

Add

4

$4$ and

\frac{1}{2}

$\frac{1}{2}$ .

Tap for more steps...

Step 2.2.1

To write

4

$4$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{11}{2} + 4 \cdot \frac{2}{2} + \frac{1}{2}

$\frac{11}{2} + 4 \cdot \frac{2}{2} + \frac{1}{2}$

Step 2.2.2

Combine

4

$4$ and

\frac{2}{2}

$\frac{2}{2}$ .

\frac{11}{2} + \frac{4 \cdot 2}{2} + \frac{1}{2}

$\frac{11}{2} + \frac{4 \cdot 2}{2} + \frac{1}{2}$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{11}{2} + \frac{4 \cdot 2 + 1}{2}

$\frac{11}{2} + \frac{4 \cdot 2 + 1}{2}$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply

4

$4$ by

2

$2$ .

\frac{11}{2} + \frac{8 + 1}{2}

$\frac{11}{2} + \frac{8 + 1}{2}$

Step 2.2.4.2

Add

8

$8$ and

1

$1$ .

\frac{11}{2} + \frac{9}{2}

$\frac{11}{2} + \frac{9}{2}$

\frac{11}{2} + \frac{9}{2}

$\frac{11}{2} + \frac{9}{2}$

\frac{11}{2} + \frac{9}{2}

$\frac{11}{2} + \frac{9}{2}$

\frac{11}{2} + \frac{9}{2}

$\frac{11}{2} + \frac{9}{2}$

Step 3

Combine the numerators over the common denominator.

\frac{11 + 9}{2}

$\frac{11 + 9}{2}$

Step 4

Simplify the expression.

Tap for more steps...

Step 4.1

Add

11

$11$ and

9

$9$ .

\frac{20}{2}

$\frac{20}{2}$

Step 4.2

Divide

20

$20$ by

2

$2$ .

10

$10$

10

$10$