Solve 2-{left(-7/4right)}^2+-5/8

$$2- { \left(- \frac{ 7 }{ 4 } \right) }^{ 2 } +- \frac{ 5 }{ 8 }$$

Evaluate

$$-\frac{27}{16}=-1.6875$$

Solution Steps

Calculate -\frac{7}{4} to the power of 2 and get \frac{49}{16}.

$$2-\frac{49}{16}-\frac{5}{8}$$

Convert 2 to fraction \frac{32}{16}.

$$\frac{32}{16}-\frac{49}{16}-\frac{5}{8}$$

Since \frac{32}{16} and \frac{49}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-49}{16}-\frac{5}{8}$$

Subtract 49 from 32 to get -17.

$$-\frac{17}{16}-\frac{5}{8}$$

Least common multiple of 16 and 8 is 16. Convert -\frac{17}{16} and \frac{5}{8} to fractions with denominator 16.

$$-\frac{17}{16}-\frac{10}{16}$$

Since -\frac{17}{16} and \frac{10}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-17-10}{16}$$

Subtract 10 from -17 to get -27.

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

Factor

$$-\frac{27}{16} = -1\frac{11}{16} = -1.6875$$