Basic Math Examples

\frac{\frac{2}{3}}{\frac{160}{24}}

$\frac{\frac{2}{3}}{\frac{160}{24}}$

Step 1

Cancel the common factor of

160

$160$ and

24

$24$ .

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Step 1.1

Factor

8

$8$ out of

160

$160$ .

\frac{\frac{2}{3}}{\frac{8 (20)}{24}}

$\frac{\frac{2}{3}}{\frac{8 (20)}{24}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

8

$8$ out of

24

$24$ .

\frac{\frac{2}{3}}{\frac{8 \cdot 20}{8 \cdot 3}}

$\frac{\frac{2}{3}}{\frac{8 \cdot 20}{8 \cdot 3}}$

Step 1.2.2

Cancel the common factor.

$\frac{\frac{2}{3}}{\frac{8 \cdot 20}{8 \cdot 3}}$

Step 1.2.3

Rewrite the expression.

$\frac{\frac{2}{3}}{\frac{20}{3}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{2}{3} \cdot \frac{3}{20}$

Step 3

Cancel the common factor of

$2$ .

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Step 3.1

Factor

$2$ out of

$20$ .

$\frac{2}{3} \cdot \frac{3}{2 (10)}$

Step 3.2

Cancel the common factor.

$\frac{2}{3} \cdot \frac{3}{2 \cdot 10}$

Step 3.3

Rewrite the expression.

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

Step 4

Cancel the common factor of

$3$ .

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Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

$\frac{1}{10}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10}$

Decimal Form:

$0.1$