Basic Math Examples

$(- 4 \frac{4}{5}) \cdot (- \frac{3}{4})$

Step 1

Convert $4 \frac{4}{5}$ to an improper fraction.

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Step 1.1

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

$- (4 + \frac{4}{5}) \cdot (- \frac{3}{4})$

Step 1.2

Add $4$ and $\frac{4}{5}$ .

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Step 1.2.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- (4 \cdot \frac{5}{5} + \frac{4}{5}) \cdot (- \frac{3}{4})$

Step 1.2.2

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

$- (\frac{4 \cdot 5}{5} + \frac{4}{5}) \cdot (- \frac{3}{4})$

Step 1.2.3

Combine the numerators over the common denominator.

$- \frac{4 \cdot 5 + 4}{5} \cdot (- \frac{3}{4})$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $4$ by $5$ .

$- \frac{20 + 4}{5} \cdot (- \frac{3}{4})$

Step 1.2.4.2

Add $20$ and $4$ .

$- \frac{24}{5} \cdot (- \frac{3}{4})$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Move the leading negative in $- \frac{24}{5}$ into the numerator.

$\frac{- 24}{5} \cdot (- \frac{3}{4})$

Step 2.2

Move the leading negative in $- \frac{3}{4}$ into the numerator.

$\frac{- 24}{5} \cdot \frac{- 3}{4}$

Step 2.3

Factor $4$ out of $- 24$ .

$\frac{4 (- 6)}{5} \cdot \frac{- 3}{4}$

Step 2.4

Cancel the common factor.

$\frac{4 \cdot - 6}{5} \cdot \frac{- 3}{4}$

Step 2.5

Rewrite the expression.

$\frac{- 6}{5} \cdot - 3$

Step 3

Combine $\frac{- 6}{5}$ and $- 3$ .

$\frac{- 6 \cdot - 3}{5}$

Step 4

Multiply $- 6$ by $- 3$ .

$\frac{18}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{18}{5}$

Decimal Form:

$3.6$

Mixed Number Form:

$3 \frac{3}{5}$