Basic Math Examples

$\frac{4}{15} \cdot (- 1 \frac{3}{8})$

Step 1

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

Tap for more steps...

Step 1.1

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

$\frac{4}{15} \cdot (- (1 + \frac{3}{8}))$

Step 1.2

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

Tap for more steps...

Step 1.2.1

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

$\frac{4}{15} \cdot (- (\frac{8}{8} + \frac{3}{8}))$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{4}{15} \cdot (- \frac{8 + 3}{8})$

Step 1.2.3

Add $8$ and $3$ .

$\frac{4}{15} \cdot (- \frac{11}{8})$

Step 2

Cancel the common factor of $4$ .

Tap for more steps...

Step 2.1

Move the leading negative in $- \frac{11}{8}$ into the numerator.

$\frac{4}{15} \cdot \frac{- 11}{8}$

Step 2.2

Factor $4$ out of $8$ .

$\frac{4}{15} \cdot \frac{- 11}{4 (2)}$

Step 2.3

Cancel the common factor.

$\frac{4}{15} \cdot \frac{- 11}{4 \cdot 2}$

Step 2.4

Rewrite the expression.

$\frac{1}{15} \cdot \frac{- 11}{2}$

Step 3

Multiply $\frac{1}{15}$ by $\frac{- 11}{2}$ .

$\frac{- 11}{15 \cdot 2}$

Step 4

Simplify the expression.

Tap for more steps...

Step 4.1

Multiply $15$ by $2$ .

$\frac{- 11}{30}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{11}{30}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{11}{30}$

Decimal Form:

$- 0.3\overline{6}$