Basic Math Examples

$\frac{17}{13} = \frac{y}{6}$

Step 1

Rewrite the equation as $\frac{y}{6} = \frac{17}{13}$ .

$\frac{y}{6} = \frac{17}{13}$

Step 2

Multiply both sides of the equation by $6$ .

$6 \frac{y}{6} = 6 (\frac{17}{13})$

Step 3

Simplify both sides of the equation.

Tap for more steps...

Step 3.1

Simplify the left side.

Tap for more steps...

Step 3.1.1

Cancel the common factor of $6$ .

Tap for more steps...

Step 3.1.1.1

Cancel the common factor.

$6 \frac{y}{6} = 6 (\frac{17}{13})$

Step 3.1.1.2

Rewrite the expression.

$y = 6 (\frac{17}{13})$

$y = 6 (\frac{17}{13})$

$y = 6 (\frac{17}{13})$

Step 3.2

Simplify the right side.

Tap for more steps...

Step 3.2.1

Multiply $6 (\frac{17}{13})$ .

Tap for more steps...

Step 3.2.1.1

Combine $6$ and $\frac{17}{13}$ .

$y = \frac{6 \cdot 17}{13}$

Step 3.2.1.2

Multiply $6$ by $17$ .

$y = \frac{102}{13}$

$y = \frac{102}{13}$

$y = \frac{102}{13}$

$y = \frac{102}{13}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{102}{13}$

Decimal Form:

$y = 7.\overline{846153}$

Mixed Number Form:

$y = 7 \frac{11}{13}$

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