Solve -2*2/16+9*9/4-4=

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

Evaluate

$$16$$

Solution Steps

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

$$-2\times \frac{1}{8}+9\times \frac{9}{4}-4$$

Multiply -2 and \frac{1}{8} to get \frac{-2}{8}.

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

Reduce the fraction \frac{-2}{8} to lowest terms by extracting and canceling out 2.

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

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

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

Multiply 9 and 9 to get 81.

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

Since -\frac{1}{4} and \frac{81}{4} have the same denominator, add them by adding their numerators.

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

Add -1 and 81 to get 80.

$$\frac{80}{4}-4$$

Divide 80 by 4 to get 20.

$$20-4$$

Subtract 4 from 20 to get 16.

$$16$$

Factor

$$2^{4}$$