Basic Math Examples

$\frac{15}{17} \div \frac{10}{17}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{15}{17} \cdot \frac{17}{10}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $15$ .

$\frac{5 (3)}{17} \cdot \frac{17}{10}$

Step 2.2

Factor $5$ out of $10$ .

$\frac{5 \cdot 3}{17} \cdot \frac{17}{5 \cdot 2}$

Step 2.3

Cancel the common factor.

$\frac{5 \cdot 3}{17} \cdot \frac{17}{5 \cdot 2}$

Step 2.4

Rewrite the expression.

$\frac{3}{17} \cdot \frac{17}{2}$

$\frac{3}{17} \cdot \frac{17}{2}$

Step 3

Cancel the common factor of $17$ .

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Step 3.1

Cancel the common factor.

$\frac{3}{17} \cdot \frac{17}{2}$

Step 3.2

Rewrite the expression.

$3 (\frac{1}{2})$

$3 (\frac{1}{2})$

Step 4

Combine $3$ and $\frac{1}{2}$ .

$\frac{3}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$