Solve (-4/3)(18/5)+6

$$( - \frac { 4 } { 3 } ) ( \frac { 18 } { 5 } ) + 6$$

Evaluate

$$\frac{6}{5}=1.2$$

Solution Steps

Multiply -\frac{4}{3} times \frac{18}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\times 18}{3\times 5}+6$$

Do the multiplications in the fraction \frac{-4\times 18}{3\times 5}.

$$\frac{-72}{15}+6$$

Reduce the fraction \frac{-72}{15} to lowest terms by extracting and canceling out 3.

$$-\frac{24}{5}+6$$

Convert 6 to fraction \frac{30}{5}.

$$-\frac{24}{5}+\frac{30}{5}$$

Since -\frac{24}{5} and \frac{30}{5} have the same denominator, add them by adding their numerators.

$$\frac{-24+30}{5}$$

Add -24 and 30 to get 6.

$$\frac{6}{5}$$

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$