Solve -2+4(5-1/4)-8(3-3/4)

$$- 2 + 4 ( 5 - \frac { 1 } { 4 } ) - 8 ( 3 - \frac { 3 } { 4 } )$$

Evaluate

$$-1$$

Solution Steps

Convert 5 to fraction \frac{20}{4}.

$$-2+4\left(\frac{20}{4}-\frac{1}{4}\right)-8\left(3-\frac{3}{4}\right)$$

Since \frac{20}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$-2+4\times \frac{20-1}{4}-8\left(3-\frac{3}{4}\right)$$

Subtract 1 from 20 to get 19.

$$-2+4\times \frac{19}{4}-8\left(3-\frac{3}{4}\right)$$

Cancel out 4 and 4.

$$-2+19-8\left(3-\frac{3}{4}\right)$$

Add -2 and 19 to get 17.

$$17-8\left(3-\frac{3}{4}\right)$$

Convert 3 to fraction \frac{12}{4}.

$$17-8\left(\frac{12}{4}-\frac{3}{4}\right)$$

Since \frac{12}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$17-8\times \frac{12-3}{4}$$

Subtract 3 from 12 to get 9.

$$17-8\times \frac{9}{4}$$

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

$$17-\frac{8\times 9}{4}$$

Multiply 8 and 9 to get 72.

$$17-\frac{72}{4}$$

Divide 72 by 4 to get 18.

$$17-18$$

Subtract 18 from 17 to get -1.

$$-1$$

Factor

$$-1$$