Basic Math Examples

$\frac{1}{56} \div \frac{- 5}{32}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{56} \cdot \frac{32}{- 5}$

Step 2

Cancel the common factor of $8$ .

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Step 2.1

Factor $8$ out of $56$ .

$\frac{1}{8 (7)} \cdot \frac{32}{- 5}$

Step 2.2

Factor $8$ out of $32$ .

$\frac{1}{8 \cdot 7} \cdot \frac{8 \cdot 4}{- 5}$

Step 2.3

Cancel the common factor.

$\frac{1}{8 \cdot 7} \cdot \frac{8 \cdot 4}{- 5}$

Step 2.4

Rewrite the expression.

$\frac{1}{7} \cdot \frac{4}{- 5}$

$\frac{1}{7} \cdot \frac{4}{- 5}$

Step 3

Multiply $\frac{1}{7}$ by $\frac{4}{- 5}$ .

$\frac{4}{7 \cdot - 5}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $7$ by $- 5$ .

$\frac{4}{- 35}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{4}{35}$

$- \frac{4}{35}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{4}{35}$

Decimal Form:

$- 0.1\overline{142857}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$