Solve 3/10*(1/2+3/4)

$$\frac { 3 } { 10 } \times ( \frac { 1 } { 2 } + \frac { 3 } { 4 } )$$

Evaluate

$$\frac{3}{8}=0.375$$

Solution Steps

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

$$\frac{3}{10}\left(\frac{2}{4}+\frac{3}{4}\right)$$

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

$$\frac{3}{10}\times \frac{2+3}{4}$$

Add 2 and 3 to get 5.

$$\frac{3}{10}\times \frac{5}{4}$$

Multiply \frac{3}{10} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{10\times 4}$$

Do the multiplications in the fraction \frac{3\times 5}{10\times 4}.

$$\frac{15}{40}$$

Reduce the fraction \frac{15}{40} to lowest terms by extracting and canceling out 5.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$