Basic Math Examples

8 \frac{11}{38}

$8 \frac{11}{38}$

Step 1

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

8 + \frac{11}{38}

$8 + \frac{11}{38}$

Step 2

Add

8

$8$ and

\frac{11}{38}

$\frac{11}{38}$ .

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Step 2.1

To write

8

$8$ as a fraction with a common denominator, multiply by

\frac{38}{38}

$\frac{38}{38}$ .

8 \cdot \frac{38}{38} + \frac{11}{38}

$8 \cdot \frac{38}{38} + \frac{11}{38}$

Step 2.2

Combine

8

$8$ and

\frac{38}{38}

$\frac{38}{38}$ .

\frac{8 \cdot 38}{38} + \frac{11}{38}

$\frac{8 \cdot 38}{38} + \frac{11}{38}$

Step 2.3

Combine the numerators over the common denominator.

\frac{8 \cdot 38 + 11}{38}

$\frac{8 \cdot 38 + 11}{38}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

8

$8$ by

38

$38$ .

\frac{304 + 11}{38}

$\frac{304 + 11}{38}$

Step 2.4.2

Add

304

$304$ and

11

$11$ .

\frac{315}{38}

$\frac{315}{38}$

\frac{315}{38}

$\frac{315}{38}$

\frac{315}{38}

$\frac{315}{38}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{315}{38}

$\frac{315}{38}$

Decimal Form:

8.28947368 \dots

$8.28947368 \dots$

Mixed Number Form:

8 \frac{11}{38}

$8 \frac{11}{38}$