Algebra Examples

$(- 3.6) (4 \frac{1}{3})$

Step 1

Convert $4 \frac{1}{3}$ to an improper fraction.

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Step 1.1

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

$- 3.6 (4 + \frac{1}{3})$

Step 1.2

Add $4$ and $\frac{1}{3}$ .

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Step 1.2.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- 3.6 (4 \cdot \frac{3}{3} + \frac{1}{3})$

Step 1.2.2

Combine $4$ and $\frac{3}{3}$ .

$- 3.6 (\frac{4 \cdot 3}{3} + \frac{1}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

$- 3.6 \frac{4 \cdot 3 + 1}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $4$ by $3$ .

$- 3.6 \frac{12 + 1}{3}$

Step 1.2.4.2

Add $12$ and $1$ .

$- 3.6 (\frac{13}{3})$

Step 2

Multiply $- 3.6 (\frac{13}{3})$ .

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Step 2.1

Combine $- 3.6$ and $\frac{13}{3}$ .

$\frac{- 3.6 \cdot 13}{3}$

Step 2.2

Multiply $- 3.6$ by $13$ .

$\frac{- 46.8}{3}$

Step 3

Divide $- 46.8$ by $3$ .

$- 15.6$