Solve for x x÷15=8 1/3

$x \div 15 = 8 \frac{1}{3}$

Step 1

Simplify the left side.

Rewrite the division as a fraction.

$\frac{x}{15} = 8 \frac{1}{3}$

Step 2

Simplify the right side.

Convert $8 \frac{1}{3}$ to an improper fraction.

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

$\frac{x}{15} = 8 + \frac{1}{3}$

Add $8$ and $\frac{1}{3}$ .

To write $8$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{x}{15} = 8 \cdot \frac{3}{3} + \frac{1}{3}$

Combine $8$ and $\frac{3}{3}$ .

$\frac{x}{15} = \frac{8 \cdot 3}{3} + \frac{1}{3}$

Combine the numerators over the common denominator.

$\frac{x}{15} = \frac{8 \cdot 3 + 1}{3}$

Simplify the numerator.

Multiply $8$ by $3$ .

$\frac{x}{15} = \frac{24 + 1}{3}$

Add $24$ and $1$ .

$\frac{x}{15} = \frac{25}{3}$

Step 3

Multiply both sides of the equation by $15$ .

$15 \frac{x}{15} = 15 (\frac{25}{3})$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$15 \frac{x}{15} = 15 (\frac{25}{3})$

Rewrite the expression.

$x = 15 (\frac{25}{3})$

Simplify the right side.

Simplify $15 (\frac{25}{3})$ .

Cancel the common factor of $3$ .

Factor $3$ out of $15$ .

$x = 3 (5) \frac{25}{3}$

Cancel the common factor.

$x = 3 \cdot 5 \frac{25}{3}$

Rewrite the expression.

$x = 5 \cdot 25$

Multiply $5$ by $25$ .

$x = 125$