Basic Math Examples

6 \frac{4}{8}

$6 \frac{4}{8}$

Step 1

Convert

6 \frac{4}{8}

$6 \frac{4}{8}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

6 + \frac{4}{8}

$6 + \frac{4}{8}$

Step 1.2

Add

6

$6$ and

\frac{4}{8}

$\frac{4}{8}$ .

Tap for more steps...

Step 1.2.1

To write

6

$6$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

6 \cdot \frac{8}{8} + \frac{4}{8}

$6 \cdot \frac{8}{8} + \frac{4}{8}$

Step 1.2.2

Combine

6

$6$ and

\frac{8}{8}

$\frac{8}{8}$ .

\frac{6 \cdot 8}{8} + \frac{4}{8}

$\frac{6 \cdot 8}{8} + \frac{4}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{6 \cdot 8 + 4}{8}

$\frac{6 \cdot 8 + 4}{8}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

6

$6$ by

8

$8$ .

\frac{48 + 4}{8}

$\frac{48 + 4}{8}$

Step 1.2.4.2

Add

48

$48$ and

4

$4$ .

\frac{52}{8}

$\frac{52}{8}$

\frac{52}{8}

$\frac{52}{8}$

\frac{52}{8}

$\frac{52}{8}$

\frac{52}{8}

$\frac{52}{8}$

Step 2

Cancel the common factor of

52

$52$ and

8

$8$ .

Tap for more steps...

Step 2.1

Factor

4

$4$ out of

52

$52$ .

\frac{4 (13)}{8}

$\frac{4 (13)}{8}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor

4

$4$ out of

8

$8$ .

\frac{4 \cdot 13}{4 \cdot 2}

$\frac{4 \cdot 13}{4 \cdot 2}$

Step 2.2.2

Cancel the common factor.

$\frac{4 \cdot 13}{4 \cdot 2}$

Step 2.2.3

Rewrite the expression.

$\frac{13}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{2}$

Decimal Form:

$6.5$

Mixed Number Form:

$6 \frac{1}{2}$