Solve 4({left(5/8right)}^2-5(5/8)-10

$$4( { \left( \frac{ 5 }{ 8 } \right) }^{ 2 } -5( \frac{ 5 }{ 8 } )-10$$

Evaluate

$$-\frac{815}{16}=-50.9375$$

Solution Steps

Calculate \frac{5}{8} to the power of 2 and get \frac{25}{64}.

$$4\left(\frac{25}{64}-5\times \frac{5}{8}-10\right)$$

Express 5\times \frac{5}{8} as a single fraction.

$$4\left(\frac{25}{64}-\frac{5\times 5}{8}-10\right)$$

Multiply 5 and 5 to get 25.

$$4\left(\frac{25}{64}-\frac{25}{8}-10\right)$$

Least common multiple of 64 and 8 is 64. Convert \frac{25}{64} and \frac{25}{8} to fractions with denominator 64.

$$4\left(\frac{25}{64}-\frac{200}{64}-10\right)$$

Since \frac{25}{64} and \frac{200}{64} have the same denominator, subtract them by subtracting their numerators.

$$4\left(\frac{25-200}{64}-10\right)$$

Subtract 200 from 25 to get -175.

$$4\left(-\frac{175}{64}-10\right)$$

Convert 10 to fraction \frac{640}{64}.

$$4\left(-\frac{175}{64}-\frac{640}{64}\right)$$

Since -\frac{175}{64} and \frac{640}{64} have the same denominator, subtract them by subtracting their numerators.

$$4\times \frac{-175-640}{64}$$

Subtract 640 from -175 to get -815.

$$4\left(-\frac{815}{64}\right)$$

Express 4\left(-\frac{815}{64}\right) as a single fraction.

$$\frac{4\left(-815\right)}{64}$$

Multiply 4 and -815 to get -3260.

$$\frac{-3260}{64}$$

Reduce the fraction \frac{-3260}{64} to lowest terms by extracting and canceling out 4.

$$-\frac{815}{16}$$

Factor

$$-\frac{815}{16} = -50\frac{15}{16} = -50.9375$$