Solve -3/2*18/5+9

$$- \frac { 3 } { 2 } \times \frac { 18 } { 5 } + 9$$

Evaluate

$$\frac{18}{5}=3.6$$

Solution Steps

Multiply -\frac{3}{2} times \frac{18}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 18}{2\times 5}+9$$

Do the multiplications in the fraction \frac{-3\times 18}{2\times 5}.

$$\frac{-54}{10}+9$$

Reduce the fraction \frac{-54}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{27}{5}+9$$

Convert 9 to fraction \frac{45}{5}.

$$-\frac{27}{5}+\frac{45}{5}$$

Since -\frac{27}{5} and \frac{45}{5} have the same denominator, add them by adding their numerators.

$$\frac{-27+45}{5}$$

Add -27 and 45 to get 18.

$$\frac{18}{5}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{5} = 3\frac{3}{5} = 3.6$$