Basic Math Examples

3 \frac{1}{5}

$3 \frac{1}{5}$

Step 1

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

3 + \frac{1}{5}

$3 + \frac{1}{5}$

Step 2

Add

3

$3$ and

\frac{1}{5}

$\frac{1}{5}$ .

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Step 2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

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

$3 \cdot \frac{5}{5} + \frac{1}{5}$

Step 2.2

Combine

3

$3$ and

\frac{5}{5}

$\frac{5}{5}$ .

\frac{3 \cdot 5}{5} + \frac{1}{5}

$\frac{3 \cdot 5}{5} + \frac{1}{5}$

Step 2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 5 + 1}{5}

$\frac{3 \cdot 5 + 1}{5}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

3

$3$ by

5

$5$ .

\frac{15 + 1}{5}

$\frac{15 + 1}{5}$

Step 2.4.2

Add

15

$15$ and

1

$1$ .

\frac{16}{5}

$\frac{16}{5}$

\frac{16}{5}

$\frac{16}{5}$

\frac{16}{5}

$\frac{16}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{16}{5}

$\frac{16}{5}$

Decimal Form:

3.2

$3.2$

Mixed Number Form:

3 \frac{1}{5}

$3 \frac{1}{5}$