Basic Math Examples

6 \frac{3}{5}

$6 \frac{3}{5}$

Step 1

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

6 + \frac{3}{5}

$6 + \frac{3}{5}$

Step 2

Add

6

$6$ and

\frac{3}{5}

$\frac{3}{5}$ .

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Step 2.1

To write

6

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

\frac{5}{5}

$\frac{5}{5}$ .

6 \cdot \frac{5}{5} + \frac{3}{5}

$6 \cdot \frac{5}{5} + \frac{3}{5}$

Step 2.2

Combine

6

$6$ and

\frac{5}{5}

$\frac{5}{5}$ .

\frac{6 \cdot 5}{5} + \frac{3}{5}

$\frac{6 \cdot 5}{5} + \frac{3}{5}$

Step 2.3

Combine the numerators over the common denominator.

\frac{6 \cdot 5 + 3}{5}

$\frac{6 \cdot 5 + 3}{5}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

6

$6$ by

5

$5$ .

\frac{30 + 3}{5}

$\frac{30 + 3}{5}$

Step 2.4.2

Add

30

$30$ and

3

$3$ .

\frac{33}{5}

$\frac{33}{5}$

\frac{33}{5}

$\frac{33}{5}$

\frac{33}{5}

$\frac{33}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{33}{5}

$\frac{33}{5}$

Decimal Form:

6.6

$6.6$

Mixed Number Form:

6 \frac{3}{5}

$6 \frac{3}{5}$