Basic Math Examples

\frac{11}{8} \div \frac{3}{4}

$\frac{11}{8} \div \frac{3}{4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{11}{8} \cdot \frac{4}{3}

$\frac{11}{8} \cdot \frac{4}{3}$

Step 2

Cancel the common factor of

4

$4$ .

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Step 2.1

Factor

4

$4$ out of

8

$8$ .

\frac{11}{4 (2)} \cdot \frac{4}{3}

$\frac{11}{4 (2)} \cdot \frac{4}{3}$

Step 2.2

Cancel the common factor.

\frac{11}{4 \cdot 2} \cdot \frac{4}{3}

$\frac{11}{4 \cdot 2} \cdot \frac{4}{3}$

Step 2.3

Rewrite the expression.

\frac{11}{2} \cdot \frac{1}{3}

$\frac{11}{2} \cdot \frac{1}{3}$

\frac{11}{2} \cdot \frac{1}{3}

$\frac{11}{2} \cdot \frac{1}{3}$

Step 3

Multiply

\frac{11}{2}

$\frac{11}{2}$ by

\frac{1}{3}

$\frac{1}{3}$ .

\frac{11}{2 \cdot 3}

$\frac{11}{2 \cdot 3}$

Step 4

Multiply

2

$2$ by

3

$3$ .

\frac{11}{6}

$\frac{11}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{11}{6}

$\frac{11}{6}$

Decimal Form:

1.8 ¯ 3

$1.8\overline{3}$

Mixed Number Form:

1 \frac{5}{6}

$1 \frac{5}{6}$