Basic Math Examples

$\frac{9}{\frac{10}{1 \frac{4}{5}}}$

Step 1

Convert $1 \frac{4}{5}$ to an improper fraction.

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Step 1.1

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

$\frac{9}{\frac{10}{1 + \frac{4}{5}}}$

Step 1.2

Add $1$ and $\frac{4}{5}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$\frac{9}{\frac{10}{\frac{5}{5} + \frac{4}{5}}}$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{9}{\frac{10}{\frac{5 + 4}{5}}}$

Step 1.2.3

Add $5$ and $4$ .

$\frac{9}{\frac{10}{\frac{9}{5}}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$9 \frac{\frac{9}{5}}{10}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$9 (\frac{9}{5} \cdot \frac{1}{10})$

Step 4

Multiply $\frac{9}{5} \cdot \frac{1}{10}$ .

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Step 4.1

Multiply $\frac{9}{5}$ by $\frac{1}{10}$ .

$9 \frac{9}{5 \cdot 10}$

Step 4.2

Multiply $5$ by $10$ .

$9 (\frac{9}{50})$

Step 5

Multiply $9 (\frac{9}{50})$ .

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Step 5.1

Combine $9$ and $\frac{9}{50}$ .

$\frac{9 \cdot 9}{50}$

Step 5.2

Multiply $9$ by $9$ .

$\frac{81}{50}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{81}{50}$

Decimal Form:

$1.62$

Mixed Number Form:

$1 \frac{31}{50}$