Solve 3/2*(3/8+7/8)8/8

$$\frac { 3 } { 2 } \cdot ( \frac { 3 } { 8 } + \frac { 7 } { 8 } ) \frac { 8 } { 8 }$$

Evaluate

$$\frac{15}{8}=1.875$$

Solution Steps

Divide 8 by 8 to get 1.

$$\frac{3}{2}\left(\frac{3}{8}+\frac{7}{8}\right)\times 1$$

Since \frac{3}{8} and \frac{7}{8} have the same denominator, add them by adding their numerators.

$$\frac{3}{2}\times \frac{3+7}{8}\times 1$$

Add 3 and 7 to get 10.

$$\frac{3}{2}\times \frac{10}{8}\times 1$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}\times \frac{5}{4}\times 1$$

Multiply \frac{3}{2} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{2\times 4}\times 1$$

Do the multiplications in the fraction \frac{3\times 5}{2\times 4}.

$$\frac{15}{8}\times 1$$

Multiply \frac{15}{8} and 1 to get \frac{15}{8}.

$$\frac{15}{8}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3}} = 1\frac{7}{8} = 1.875$$