Basic Math Examples

$\frac{8}{\frac{\frac{20 \frac{4}{9}}{7}}{9}}$

Step 1

Convert $20 \frac{4}{9}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$\frac{8}{\frac{\frac{20 + \frac{4}{9}}{7}}{9}}$

Step 1.2

Add $20$ and $\frac{4}{9}$ .

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Step 1.2.1

To write $20$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{8}{\frac{\frac{20 \cdot \frac{9}{9} + \frac{4}{9}}{7}}{9}}$

Step 1.2.2

Combine $20$ and $\frac{9}{9}$ .

$\frac{8}{\frac{\frac{\frac{20 \cdot 9}{9} + \frac{4}{9}}{7}}{9}}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{8}{\frac{\frac{\frac{20 \cdot 9 + 4}{9}}{7}}{9}}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $20$ by $9$ .

$\frac{8}{\frac{\frac{\frac{180 + 4}{9}}{7}}{9}}$

Step 1.2.4.2

Add $180$ and $4$ .

$\frac{8}{\frac{\frac{\frac{184}{9}}{7}}{9}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$8 \frac{9}{\frac{\frac{184}{9}}{7}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$8 (9 \frac{7}{\frac{184}{9}})$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$8 (9 (7 (\frac{9}{184})))$

Step 5

Multiply $7 (\frac{9}{184})$ .

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Step 5.1

Combine $7$ and $\frac{9}{184}$ .

$8 (9 \frac{7 \cdot 9}{184})$

Step 5.2

Multiply $7$ by $9$ .

$8 (9 (\frac{63}{184}))$

Step 6

Multiply $9 (\frac{63}{184})$ .

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Step 6.1

Combine $9$ and $\frac{63}{184}$ .

$8 \frac{9 \cdot 63}{184}$

Step 6.2

Multiply $9$ by $63$ .

$8 (\frac{567}{184})$

Step 7

Cancel the common factor of $8$ .

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Step 7.1

Factor $8$ out of $184$ .

$8 \frac{567}{8 (23)}$

Step 7.2

Cancel the common factor.

$8 \frac{567}{8 \cdot 23}$

Step 7.3

Rewrite the expression.

$\frac{567}{23}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{567}{23}$

Decimal Form:

$24.65217391 \dots$

Mixed Number Form:

$24 \frac{15}{23}$