Basic Math Examples

30 \frac{1}{5}

$30 \frac{1}{5}$

Step 1

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

30 + \frac{1}{5}

$30 + \frac{1}{5}$

Step 2

Add

30

$30$ and

\frac{1}{5}

$\frac{1}{5}$ .

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Step 2.1

To write

30

$30$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

30 \cdot \frac{5}{5} + \frac{1}{5}

$30 \cdot \frac{5}{5} + \frac{1}{5}$

Step 2.2

Combine

30

$30$ and

\frac{5}{5}

$\frac{5}{5}$ .

\frac{30 \cdot 5}{5} + \frac{1}{5}

$\frac{30 \cdot 5}{5} + \frac{1}{5}$

Step 2.3

Combine the numerators over the common denominator.

\frac{30 \cdot 5 + 1}{5}

$\frac{30 \cdot 5 + 1}{5}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

30

$30$ by

5

$5$ .

\frac{150 + 1}{5}

$\frac{150 + 1}{5}$

Step 2.4.2

Add

150

$150$ and

1

$1$ .

\frac{151}{5}

$\frac{151}{5}$

\frac{151}{5}

$\frac{151}{5}$

\frac{151}{5}

$\frac{151}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{151}{5}

$\frac{151}{5}$

Decimal Form:

30.2

$30.2$

Mixed Number Form:

30 \frac{1}{5}

$30 \frac{1}{5}$