Basic Math Examples

4 \frac{1}{2} - \frac{1}{2}

$4 \frac{1}{2} - \frac{1}{2}$

Step 1

Convert

4 \frac{1}{2}

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

Tap for more steps...

Step 1.1

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

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

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

Step 1.2

Add

4

$4$ and

\frac{1}{2}

$\frac{1}{2}$ .

Tap for more steps...

Step 1.2.1

To write

4

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

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 1.2.2

Combine

4

$4$ and

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 1.2.3

Combine the numerators over the common denominator.

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

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

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

4

$4$ by

2

$2$ .

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

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

Step 1.2.4.2

Add

8

$8$ and

1

$1$ .

\frac{9}{2} - \frac{1}{2}

$\frac{9}{2} - \frac{1}{2}$

\frac{9}{2} - \frac{1}{2}

$\frac{9}{2} - \frac{1}{2}$

\frac{9}{2} - \frac{1}{2}

$\frac{9}{2} - \frac{1}{2}$

\frac{9}{2} - \frac{1}{2}

$\frac{9}{2} - \frac{1}{2}$

Step 2

Combine the numerators over the common denominator.

\frac{9 - 1}{2}

$\frac{9 - 1}{2}$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Subtract

1

$1$ from

9

$9$ .

\frac{8}{2}

$\frac{8}{2}$

Step 3.2

Divide

8

$8$ by

2

$2$ .

4

$4$

4

$4$