Basic Math Examples

$\frac{\frac{5}{27}}{4 - \frac{8}{9}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{27} \cdot \frac{1}{4 - \frac{8}{9}}$

Step 2

Simplify the denominator.

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Step 2.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{5}{27} \cdot \frac{1}{4 \cdot \frac{9}{9} - \frac{8}{9}}$

Step 2.2

Combine $4$ and $\frac{9}{9}$ .

$\frac{5}{27} \cdot \frac{1}{\frac{4 \cdot 9}{9} - \frac{8}{9}}$

Step 2.3

Combine the numerators over the common denominator.

$\frac{5}{27} \cdot \frac{1}{\frac{4 \cdot 9 - 8}{9}}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply $4$ by $9$ .

$\frac{5}{27} \cdot \frac{1}{\frac{36 - 8}{9}}$

Step 2.4.2

Subtract $8$ from $36$ .

$\frac{5}{27} \cdot \frac{1}{\frac{28}{9}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{27} (1 (\frac{9}{28}))$

Step 4

Multiply $\frac{9}{28}$ by $1$ .

$\frac{5}{27} \cdot \frac{9}{28}$

Step 5

Cancel the common factor of $9$ .

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Step 5.1

Factor $9$ out of $27$ .

$\frac{5}{9 (3)} \cdot \frac{9}{28}$

Step 5.2

Cancel the common factor.

$\frac{5}{9 \cdot 3} \cdot \frac{9}{28}$

Step 5.3

Rewrite the expression.

$\frac{5}{3} \cdot \frac{1}{28}$

Step 6

Multiply $\frac{5}{3}$ by $\frac{1}{28}$ .

$\frac{5}{3 \cdot 28}$

Step 7

Multiply $3$ by $28$ .

$\frac{5}{84}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{84}$

Decimal Form:

$0.05952380 \dots$