Solve 5(-7/40)+{left(7/8right)}^2

$$5( \frac{ -7 }{ 40 } )+ { \left( \frac{ 7 }{ 8 } \right) }^{ 2 }$$

Evaluate

$$-\frac{7}{64}=-0.109375$$

Solution Steps

Fraction \frac{-7}{40} can be rewritten as -\frac{7}{40} by extracting the negative sign.

$$5\left(-\frac{7}{40}\right)+\left(\frac{7}{8}\right)^{2}$$

Express 5\left(-\frac{7}{40}\right) as a single fraction.

$$\frac{5\left(-7\right)}{40}+\left(\frac{7}{8}\right)^{2}$$

Multiply 5 and -7 to get -35.

$$\frac{-35}{40}+\left(\frac{7}{8}\right)^{2}$$

Reduce the fraction \frac{-35}{40} to lowest terms by extracting and canceling out 5.

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

Calculate \frac{7}{8} to the power of 2 and get \frac{49}{64}.

$$-\frac{7}{8}+\frac{49}{64}$$

Least common multiple of 8 and 64 is 64. Convert -\frac{7}{8} and \frac{49}{64} to fractions with denominator 64.

$$-\frac{56}{64}+\frac{49}{64}$$

Since -\frac{56}{64} and \frac{49}{64} have the same denominator, add them by adding their numerators.

$$\frac{-56+49}{64}$$

Add -56 and 49 to get -7.

$$-\frac{7}{64}$$

Factor

$$-\frac{7}{64} = -0.109375$$