Solve 2-(-7/4)^2+(-5/8)

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

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

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