Basic Math Examples

$- 1 \frac{1}{2} \cdot \frac{2}{3}$

Step 1

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

Tap for more steps...

Step 1.1

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

$- (1 + \frac{1}{2}) \cdot \frac{2}{3}$

Step 1.2

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

Tap for more steps...

Step 1.2.1

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

$- (\frac{2}{2} + \frac{1}{2}) \cdot \frac{2}{3}$

Step 1.2.2

Combine the numerators over the common denominator.

$- \frac{2 + 1}{2} \cdot \frac{2}{3}$

Step 1.2.3

Add $2$ and $1$ .

$- \frac{3}{2} \cdot \frac{2}{3}$

Step 2

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.1

Move the leading negative in $- \frac{3}{2}$ into the numerator.

$\frac{- 3}{2} \cdot \frac{2}{3}$

Step 2.2

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{2} \cdot \frac{2}{3}$

Step 2.3

Cancel the common factor.

$\frac{3 \cdot - 1}{2} \cdot \frac{2}{3}$

Step 2.4

Rewrite the expression.

$\frac{- 1}{2} \cdot 2$

Step 3

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

$\frac{- 1}{2} \cdot 2$

Step 3.2

Rewrite the expression.

$- 1$