Basic Math Examples

$\frac{8}{19} \cdot (- 4 \frac{6}{8})$

Step 1

Convert $4 \frac{6}{8}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$\frac{8}{19} \cdot (- (4 + \frac{6}{8}))$

Step 1.2

Add $4$ and $\frac{6}{8}$ .

Tap for more steps...

Step 1.2.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{8}{19} \cdot (- (4 \cdot \frac{8}{8} + \frac{6}{8}))$

Step 1.2.2

Combine $4$ and $\frac{8}{8}$ .

$\frac{8}{19} \cdot (- (\frac{4 \cdot 8}{8} + \frac{6}{8}))$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{8}{19} \cdot (- \frac{4 \cdot 8 + 6}{8})$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply $4$ by $8$ .

$\frac{8}{19} \cdot (- \frac{32 + 6}{8})$

Step 1.2.4.2

Add $32$ and $6$ .

$\frac{8}{19} \cdot (- \frac{38}{8})$

Step 2

Cancel the common factor of $8$ .

Tap for more steps...

Step 2.1

Move the leading negative in $- \frac{38}{8}$ into the numerator.

$\frac{8}{19} \cdot \frac{- 38}{8}$

Step 2.2

Cancel the common factor.

$\frac{8}{19} \cdot \frac{- 38}{8}$

Step 2.3

Rewrite the expression.

$\frac{1}{19} \cdot - 38$

Step 3

Cancel the common factor of $19$ .

Tap for more steps...

Step 3.1

Factor $19$ out of $- 38$ .

$\frac{1}{19} \cdot (19 (- 2))$

Step 3.2

Cancel the common factor.

$\frac{1}{19} \cdot (19 \cdot - 2)$

Step 3.3

Rewrite the expression.

$- 2$