Solve 2*(1/2+3/4)

$$2 \times ( \frac{ 1 }{ 2 } + \frac{ 3 }{ 4 } )$$

Evaluate

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

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{3}{4} to fractions with denominator 4.

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

Since \frac{2}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

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

Add 2 and 3 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

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