Basic Math Examples

31 \frac{7}{8}

$31 \frac{7}{8}$

Step 1

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

31 + \frac{7}{8}

$31 + \frac{7}{8}$

Step 2

Add

31

$31$ and

\frac{7}{8}

$\frac{7}{8}$ .

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Step 2.1

To write

31

$31$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

31 \cdot \frac{8}{8} + \frac{7}{8}

$31 \cdot \frac{8}{8} + \frac{7}{8}$

Step 2.2

Combine

31

$31$ and

\frac{8}{8}

$\frac{8}{8}$ .

\frac{31 \cdot 8}{8} + \frac{7}{8}

$\frac{31 \cdot 8}{8} + \frac{7}{8}$

Step 2.3

Combine the numerators over the common denominator.

\frac{31 \cdot 8 + 7}{8}

$\frac{31 \cdot 8 + 7}{8}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

31

$31$ by

8

$8$ .

\frac{248 + 7}{8}

$\frac{248 + 7}{8}$

Step 2.4.2

Add

248

$248$ and

7

$7$ .

\frac{255}{8}

$\frac{255}{8}$

\frac{255}{8}

$\frac{255}{8}$

\frac{255}{8}

$\frac{255}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{255}{8}

$\frac{255}{8}$

Decimal Form:

31.875

$31.875$

Mixed Number Form:

31 \frac{7}{8}

$31 \frac{7}{8}$