Solve 2(3/4)^2-4(3/4)-10

$$2 ( \frac { 3 } { 4 } ) ^ { 2 } - 4 ( \frac { 3 } { 4 } ) - 10$$

Evaluate

$$-\frac{95}{8}=-11.875$$

Solution Steps

Calculate \frac{3}{4} to the power of 2 and get \frac{9}{16}.

$$2\times \frac{9}{16}-4\times \frac{3}{4}-10$$

Express 2\times \frac{9}{16} as a single fraction.

$$\frac{2\times 9}{16}-4\times \frac{3}{4}-10$$

Multiply 2 and 9 to get 18.

$$\frac{18}{16}-4\times \frac{3}{4}-10$$

Reduce the fraction \frac{18}{16} to lowest terms by extracting and canceling out 2.

$$\frac{9}{8}-4\times \frac{3}{4}-10$$

Cancel out 4 and 4.

$$\frac{9}{8}-3-10$$

Convert 3 to fraction \frac{24}{8}.

$$\frac{9}{8}-\frac{24}{8}-10$$

Since \frac{9}{8} and \frac{24}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-24}{8}-10$$

Subtract 24 from 9 to get -15.

$$-\frac{15}{8}-10$$

Convert 10 to fraction \frac{80}{8}.

$$-\frac{15}{8}-\frac{80}{8}$$

Since -\frac{15}{8} and \frac{80}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-15-80}{8}$$

Subtract 80 from -15 to get -95.

$$-\frac{95}{8}$$

Factor

$$-\frac{95}{8} = -11\frac{7}{8} = -11.875$$