Basic Math Examples

$1 \frac{1}{5} \cdot 12 \frac{1}{2}$

Step 1

Convert $1 \frac{1}{5}$ to an improper fraction.

Tap for more steps...

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

$(1 + \frac{1}{5}) \cdot 12 \frac{1}{2}$

Add $1$ and $\frac{1}{5}$ .

Tap for more steps...

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

$(\frac{5}{5} + \frac{1}{5}) \cdot 12 \frac{1}{2}$

Combine the numerators over the common denominator.

$\frac{5 + 1}{5} \cdot 12 \frac{1}{2}$

Add $5$ and $1$ .

$\frac{6}{5} \cdot 12 \frac{1}{2}$

Step 2

Convert $12 \frac{1}{2}$ to an improper fraction.

Tap for more steps...

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

$\frac{6}{5} \cdot (12 + \frac{1}{2})$

Add $12$ and $\frac{1}{2}$ .

Tap for more steps...

To write $12$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{6}{5} \cdot (12 \cdot \frac{2}{2} + \frac{1}{2})$

Combine $12$ and $\frac{2}{2}$ .

$\frac{6}{5} \cdot (\frac{12 \cdot 2}{2} + \frac{1}{2})$

Combine the numerators over the common denominator.

$\frac{6}{5} \cdot \frac{12 \cdot 2 + 1}{2}$

Simplify the numerator.

Tap for more steps...

Multiply $12$ by $2$ .

$\frac{6}{5} \cdot \frac{24 + 1}{2}$

Add $24$ and $1$ .

$\frac{6}{5} \cdot \frac{25}{2}$

Step 3

Cancel the common factor of $2$ .

Tap for more steps...

Factor $2$ out of $6$ .

$\frac{2 (3)}{5} \cdot \frac{25}{2}$

Cancel the common factor.

$\frac{2 \cdot 3}{5} \cdot \frac{25}{2}$

Rewrite the expression.

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

Step 4

Cancel the common factor of $5$ .

Tap for more steps...

Factor $5$ out of $25$ .

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

Cancel the common factor.

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

Rewrite the expression.

$3 \cdot 5$

Step 5

Multiply $3$ by $5$ .

$15$