Solve 2(1/4-1+2)

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

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Convert 1 to fraction \frac{4}{4}.

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

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

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

Subtract 4 from 1 to get -3.

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

Convert 2 to fraction \frac{8}{4}.

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

Since -\frac{3}{4} and \frac{8}{4} have the same denominator, add them by adding their numerators.

$$2\times \frac{-3+8}{4}$$

Add -3 and 8 to get 5.

$$2\times \frac{5}{4}$$

Express 2\times \frac{5}{4} as a single fraction.

$$\frac{2\times 5}{4}$$

Multiply 2 and 5 to get 10.

$$\frac{10}{4}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$