Basic Math Examples

$\frac{12}{65} \div 1 \frac{4}{13}$

Step 1

Convert $1 \frac{4}{13}$ to an improper fraction.

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Step 1.1

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

$\frac{12}{65} \div (1 + \frac{4}{13})$

Step 1.2

Add $1$ and $\frac{4}{13}$ .

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Step 1.2.1

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

$\frac{12}{65} \div (\frac{13}{13} + \frac{4}{13})$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{12}{65} \div \frac{13 + 4}{13}$

Step 1.2.3

Add $13$ and $4$ .

$\frac{12}{65} \div \frac{17}{13}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{12}{65} \cdot \frac{13}{17}$

Step 3

Cancel the common factor of $13$ .

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Step 3.1

Factor $13$ out of $65$ .

$\frac{12}{13 (5)} \cdot \frac{13}{17}$

Step 3.2

Cancel the common factor.

$\frac{12}{13 \cdot 5} \cdot \frac{13}{17}$

Step 3.3

Rewrite the expression.

$\frac{12}{5} \cdot \frac{1}{17}$

Step 4

Multiply $\frac{12}{5}$ by $\frac{1}{17}$ .

$\frac{12}{5 \cdot 17}$

Step 5

Multiply $5$ by $17$ .

$\frac{12}{85}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{12}{85}$

Decimal Form:

$0.14117647 \dots$