Basic Math Examples

5 \frac{4}{7}

$5 \frac{4}{7}$

Step 1

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

5 + \frac{4}{7}

$5 + \frac{4}{7}$

Step 2

Add

5

$5$ and

\frac{4}{7}

$\frac{4}{7}$ .

Tap for more steps...

Step 2.1

To write

5

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

\frac{7}{7}

$\frac{7}{7}$ .

5 \cdot \frac{7}{7} + \frac{4}{7}

$5 \cdot \frac{7}{7} + \frac{4}{7}$

Step 2.2

Combine

5

$5$ and

\frac{7}{7}

$\frac{7}{7}$ .

\frac{5 \cdot 7}{7} + \frac{4}{7}

$\frac{5 \cdot 7}{7} + \frac{4}{7}$

Step 2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 7 + 4}{7}

$\frac{5 \cdot 7 + 4}{7}$

Step 2.4

Simplify the numerator.

Tap for more steps...

Step 2.4.1

Multiply

5

$5$ by

7

$7$ .

\frac{35 + 4}{7}

$\frac{35 + 4}{7}$

Step 2.4.2

Add

35

$35$ and

4

$4$ .

\frac{39}{7}

$\frac{39}{7}$

\frac{39}{7}

$\frac{39}{7}$

\frac{39}{7}

$\frac{39}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{39}{7}

$\frac{39}{7}$

Decimal Form:

5. ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 571428

$5.\overline{571428}$

Mixed Number Form:

5 \frac{4}{7}

$5 \frac{4}{7}$