Algebra Examples

$\frac{7.2}{x} = \frac{0.25}{1 \frac{1}{9}}$

Step 1

Simplify the right side.

Tap for more steps...

Step 1.1

Simplify $\frac{0.25}{1 \frac{1}{9}}$ .

Tap for more steps...

Step 1.1.1

Convert $1 \frac{1}{9}$ to an improper fraction.

Tap for more steps...

Step 1.1.1.1

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

$\frac{7.2}{x} = \frac{0.25}{1 + \frac{1}{9}}$

Step 1.1.1.2

Add $1$ and $\frac{1}{9}$ .

Tap for more steps...

Step 1.1.1.2.1

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

$\frac{7.2}{x} = \frac{0.25}{\frac{9}{9} + \frac{1}{9}}$

Step 1.1.1.2.2

Combine the numerators over the common denominator.

$\frac{7.2}{x} = \frac{0.25}{\frac{9 + 1}{9}}$

Step 1.1.1.2.3

Add $9$ and $1$ .

$\frac{7.2}{x} = \frac{0.25}{\frac{10}{9}}$

Step 1.1.2

Multiply the numerator by the reciprocal of the denominator.

$\frac{7.2}{x} = 0.25 (\frac{9}{10})$

Step 1.1.3

Cancel the common factor of $0.25$ .

Tap for more steps...

Step 1.1.3.1

Factor $0.25$ out of $10$ .

$\frac{7.2}{x} = 0.25 \frac{9}{0.25 (40)}$

Step 1.1.3.2

Cancel the common factor.

$\frac{7.2}{x} = 0.25 \frac{9}{0.25 \cdot 40}$

Step 1.1.3.3

Rewrite the expression.

$\frac{7.2}{x} = \frac{9}{40}$

Step 2

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

$7.2 \cdot 40 = x \cdot 9$

Step 3

Solve the equation for $x$ .

Tap for more steps...

Step 3.1

Rewrite the equation as $x \cdot 9 = 7.2 \cdot 40$ .

$x \cdot 9 = 7.2 \cdot 40$

Step 3.2

Multiply $7.2$ by $40$ .

$x \cdot 9 = 288$

Step 3.3

Divide each term in $x \cdot 9 = 288$ by $9$ and simplify.

Tap for more steps...

Step 3.3.1

Divide each term in $x \cdot 9 = 288$ by $9$ .

$\frac{x \cdot 9}{9} = \frac{288}{9}$

Step 3.3.2

Simplify the left side.

Tap for more steps...

Step 3.3.2.1

Cancel the common factor of $9$ .

Tap for more steps...

Step 3.3.2.1.1

Cancel the common factor.

$\frac{x \cdot 9}{9} = \frac{288}{9}$

Step 3.3.2.1.2

Divide $x$ by $1$ .

$x = \frac{288}{9}$

Step 3.3.3

Simplify the right side.

Tap for more steps...

Step 3.3.3.1

Divide $288$ by $9$ .

$x = 32$