Basic Math Examples

\frac{\frac{1}{10}}{\frac{3}{5}}

$\frac{\frac{1}{10}}{\frac{3}{5}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

\frac{1}{10} \cdot \frac{5}{3}

$\frac{1}{10} \cdot \frac{5}{3}$

Step 2

Cancel the common factor of

5

$5$ .

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Step 2.1

Factor

5

$5$ out of

10

$10$ .

\frac{1}{5 (2)} \cdot \frac{5}{3}

$\frac{1}{5 (2)} \cdot \frac{5}{3}$

Step 2.2

Cancel the common factor.

$\frac{1}{5 \cdot 2} \cdot \frac{5}{3}$

Step 2.3

Rewrite the expression.

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

Step 3

Multiply

$\frac{1}{2}$ by

$\frac{1}{3}$ .

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

Step 4

Multiply

$2$ by

$3$ .

$\frac{1}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{6}$

Decimal Form:

$0.1\overline{6}$