Basic Math Examples

$3 \frac{9}{10} \cdot (- \frac{8}{3})$

Step 1

Convert $3 \frac{9}{10}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$(3 + \frac{9}{10}) \cdot (- \frac{8}{3})$

Step 1.2

Add $3$ and $\frac{9}{10}$ .

Tap for more steps...

Step 1.2.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$(3 \cdot \frac{10}{10} + \frac{9}{10}) \cdot (- \frac{8}{3})$

Step 1.2.2

Combine $3$ and $\frac{10}{10}$ .

$(\frac{3 \cdot 10}{10} + \frac{9}{10}) \cdot (- \frac{8}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{3 \cdot 10 + 9}{10} \cdot (- \frac{8}{3})$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply $3$ by $10$ .

$\frac{30 + 9}{10} \cdot (- \frac{8}{3})$

Step 1.2.4.2

Add $30$ and $9$ .

$\frac{39}{10} \cdot (- \frac{8}{3})$

Step 2

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.1

Move the leading negative in $- \frac{8}{3}$ into the numerator.

$\frac{39}{10} \cdot \frac{- 8}{3}$

Step 2.2

Factor $3$ out of $39$ .

$\frac{3 (13)}{10} \cdot \frac{- 8}{3}$

Step 2.3

Cancel the common factor.

$\frac{3 \cdot 13}{10} \cdot \frac{- 8}{3}$

Step 2.4

Rewrite the expression.

$\frac{13}{10} \cdot - 8$

Step 3

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.1

Factor $2$ out of $10$ .

$\frac{13}{2 (5)} \cdot - 8$

Step 3.2

Factor $2$ out of $- 8$ .

$\frac{13}{2 \cdot 5} \cdot (2 \cdot - 4)$

Step 3.3

Cancel the common factor.

$\frac{13}{2 \cdot 5} \cdot (2 \cdot - 4)$

Step 3.4

Rewrite the expression.

$\frac{13}{5} \cdot - 4$

Step 4

Combine $\frac{13}{5}$ and $- 4$ .

$\frac{13 \cdot - 4}{5}$

Step 5

Simplify the expression.

Tap for more steps...

Step 5.1

Multiply $13$ by $- 4$ .

$\frac{- 52}{5}$

Step 5.2

Move the negative in front of the fraction.

$- \frac{52}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{52}{5}$

Decimal Form:

$- 10.4$

Mixed Number Form:

$- 10 \frac{2}{5}$