Solve -(9/8)^2+4*9/8

$$- ( \frac { 9 } { 8 } ) ^ { 2 } + 4 \times \frac { 9 } { 8 }$$

Evaluate

$$\frac{207}{64}=3.234375$$

Solution Steps

Calculate \frac{9}{8} to the power of 2 and get \frac{81}{64}.

$$-\frac{81}{64}+4\times \frac{9}{8}$$

Express 4\times \frac{9}{8} as a single fraction.

$$-\frac{81}{64}+\frac{4\times 9}{8}$$

Multiply 4 and 9 to get 36.

$$-\frac{81}{64}+\frac{36}{8}$$

Reduce the fraction \frac{36}{8} to lowest terms by extracting and canceling out 4.

$$-\frac{81}{64}+\frac{9}{2}$$

Least common multiple of 64 and 2 is 64. Convert -\frac{81}{64} and \frac{9}{2} to fractions with denominator 64.

$$-\frac{81}{64}+\frac{288}{64}$$

Since -\frac{81}{64} and \frac{288}{64} have the same denominator, add them by adding their numerators.

$$\frac{-81+288}{64}$$

Add -81 and 288 to get 207.

$$\frac{207}{64}$$

Factor

$$\frac{3 ^ {2} \cdot 23}{2 ^ {6}} = 3\frac{15}{64} = 3.234375$$