Solve (-3/8-1^2-3/4*(-1)+3)*0.5

$$(- \frac{ 3 }{ 8 } { -1 }^{ 2 } - \frac{ 3 }{ 4 } \times (-1)+3) \times 0.5$$

Evaluate

$$1.6875$$

Solution Steps

Calculate -1 to the power of 2 and get 1.

$$\left(-\frac{3}{8}-\frac{3}{4}\left(-1\right)+3\right)\times 0.5$$

Multiply \frac{3}{4} and -1 to get -\frac{3}{4}.

$$\left(-\frac{3}{8}-\left(-\frac{3}{4}\right)+3\right)\times 0.5$$

The opposite of -\frac{3}{4} is \frac{3}{4}.

$$\left(-\frac{3}{8}+\frac{3}{4}+3\right)\times 0.5$$

Least common multiple of 8 and 4 is 8. Convert -\frac{3}{8} and \frac{3}{4} to fractions with denominator 8.

$$\left(-\frac{3}{8}+\frac{6}{8}+3\right)\times 0.5$$

Since -\frac{3}{8} and \frac{6}{8} have the same denominator, add them by adding their numerators.

$$\left(\frac{-3+6}{8}+3\right)\times 0.5$$

Add -3 and 6 to get 3.

$$\left(\frac{3}{8}+3\right)\times 0.5$$

Convert 3 to fraction \frac{24}{8}.

$$\left(\frac{3}{8}+\frac{24}{8}\right)\times 0.5$$

Since \frac{3}{8} and \frac{24}{8} have the same denominator, add them by adding their numerators.

$$\frac{3+24}{8}\times 0.5$$

Add 3 and 24 to get 27.

$$\frac{27}{8}\times 0.5$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{27}{8}\times \frac{1}{2}$$

Multiply \frac{27}{8} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 1}{8\times 2}$$

Do the multiplications in the fraction \frac{27\times 1}{8\times 2}.

$$\frac{27}{16}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {4}} = 1\frac{11}{16} = 1.6875$$