Solve -2*81/16+9*9/4+1

$$- 2 \times \frac { 81 } { 16 } + 9 \times \frac { 9 } { 4 } + 1$$

Evaluate

$$\frac{89}{8}=11.125$$

Solution Steps

Express -2\times \frac{81}{16} as a single fraction.

$$\frac{-2\times 81}{16}+9\times \frac{9}{4}+1$$

Multiply -2 and 81 to get -162.

$$\frac{-162}{16}+9\times \frac{9}{4}+1$$

Reduce the fraction \frac{-162}{16} to lowest terms by extracting and canceling out 2.

$$-\frac{81}{8}+9\times \frac{9}{4}+1$$

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

$$-\frac{81}{8}+\frac{9\times 9}{4}+1$$

Multiply 9 and 9 to get 81.

$$-\frac{81}{8}+\frac{81}{4}+1$$

Least common multiple of 8 and 4 is 8. Convert -\frac{81}{8} and \frac{81}{4} to fractions with denominator 8.

$$-\frac{81}{8}+\frac{162}{8}+1$$

Since -\frac{81}{8} and \frac{162}{8} have the same denominator, add them by adding their numerators.

$$\frac{-81+162}{8}+1$$

Add -81 and 162 to get 81.

$$\frac{81}{8}+1$$

Convert 1 to fraction \frac{8}{8}.

$$\frac{81}{8}+\frac{8}{8}$$

Since \frac{81}{8} and \frac{8}{8} have the same denominator, add them by adding their numerators.

$$\frac{81+8}{8}$$

Add 81 and 8 to get 89.

$$\frac{89}{8}$$

Factor

$$\frac{89}{2 ^ {3}} = 11\frac{1}{8} = 11.125$$