Solve 3/8-0.2*(9/2+3)div1.5

$$\frac{ 3 }{ 8 } -0.2 \times ( \frac{ 9 }{ 2 } +3) \div 1.5$$

Evaluate

$$-0.625$$

Solution Steps

Convert 3 to fraction \frac{6}{2}.

$$\frac{3}{8}-\frac{0.2\left(\frac{9}{2}+\frac{6}{2}\right)}{1.5}$$

Since \frac{9}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.

$$\frac{3}{8}-\frac{0.2\times \frac{9+6}{2}}{1.5}$$

Add 9 and 6 to get 15.

$$\frac{3}{8}-\frac{0.2\times \frac{15}{2}}{1.5}$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{8}-\frac{\frac{1}{5}\times \frac{15}{2}}{1.5}$$

Multiply \frac{1}{5} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{8}-\frac{\frac{1\times 15}{5\times 2}}{1.5}$$

Do the multiplications in the fraction \frac{1\times 15}{5\times 2}.

$$\frac{3}{8}-\frac{\frac{15}{10}}{1.5}$$

Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{3}{8}-\frac{\frac{3}{2}}{1.5}$$

Divide \frac{3}{2} by 1.5 to get 1.

$$\frac{3}{8}-1$$

Convert 1 to fraction \frac{8}{8}.

$$\frac{3}{8}-\frac{8}{8}$$

Since \frac{3}{8} and \frac{8}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-8}{8}$$

Subtract 8 from 3 to get -5.

$$-\frac{5}{8}$$

Factor

$$-0.625$$