Basic Math Examples

$10 \cdot \frac{a}{0.75} = 380$

Step 1

Simplify $10 \cdot \frac{a}{0.75}$ .

Tap for more steps...

Step 1.1

Multiply by $1$ .

$10 \cdot \frac{1 a}{0.75} = 380$

Step 1.2

Factor $0.75$ out of $0.75$ .

$10 \cdot \frac{1 a}{0.75 (1)} = 380$

Step 1.3

Separate fractions.

$10 \cdot (\frac{1}{0.75} \cdot \frac{a}{1}) = 380$

Step 1.4

Divide $1$ by $0.75$ .

$10 \cdot (1.\overline{3} \frac{a}{1}) = 380$

Step 1.5

Divide $a$ by $1$ .

$10 \cdot (1.\overline{3} a) = 380$

Step 1.6

Multiply $1.\overline{3}$ by $10$ .

$13.\overline{3} a = 380$

Step 2

Divide each term in $13.\overline{3} a = 380$ by $13.\overline{3}$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $13.\overline{3} a = 380$ by $13.\overline{3}$ .

$\frac{13.\overline{3} a}{13.\overline{3}} = \frac{380}{13.\overline{3}}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $13.\overline{3}$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{13.\overline{3} a}{13.\overline{3}} = \frac{380}{13.\overline{3}}$

Step 2.2.1.2

Divide $a$ by $1$ .

$a = \frac{380}{13.\overline{3}}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Divide $380$ by $13.\overline{3}$ .

$a = 28.5$