Solve -0.4+11/2*(-1/8)

$$- 0.4 + 1 \frac { 1 } { 2 } \times ( - \frac { 1 } { 8 } )$$

Evaluate

$$-0.5875$$

Solution Steps

Multiply 1 and 2 to get 2.

$$-0.4+\frac{2+1}{2}\left(-\frac{1}{8}\right)$$

Add 2 and 1 to get 3.

$$-0.4+\frac{3}{2}\left(-\frac{1}{8}\right)$$

Multiply \frac{3}{2} times -\frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$-0.4+\frac{3\left(-1\right)}{2\times 8}$$

Do the multiplications in the fraction \frac{3\left(-1\right)}{2\times 8}.

$$-0.4+\frac{-3}{16}$$

Fraction \frac{-3}{16} can be rewritten as -\frac{3}{16} by extracting the negative sign.

$$-0.4-\frac{3}{16}$$

Convert decimal number -0.4 to fraction -\frac{4}{10}. Reduce the fraction -\frac{4}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{2}{5}-\frac{3}{16}$$

Least common multiple of 5 and 16 is 80. Convert -\frac{2}{5} and \frac{3}{16} to fractions with denominator 80.

$$-\frac{32}{80}-\frac{15}{80}$$

Since -\frac{32}{80} and \frac{15}{80} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-32-15}{80}$$

Subtract 15 from -32 to get -47.

$$-\frac{47}{80}$$

Factor

$$-0.5875$$