Solve 17/8*(3/5+1/6)

$$1 \frac { 7 } { 8 } \times ( \frac { 3 } { 5 } + \frac { 1 } { 6 } )$$

Evaluate

$$\frac{23}{16}=1.4375$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+7}{8}\left(\frac{3}{5}+\frac{1}{6}\right)$$

Add 8 and 7 to get 15.

$$\frac{15}{8}\left(\frac{3}{5}+\frac{1}{6}\right)$$

Least common multiple of 5 and 6 is 30. Convert \frac{3}{5} and \frac{1}{6} to fractions with denominator 30.

$$\frac{15}{8}\left(\frac{18}{30}+\frac{5}{30}\right)$$

Since \frac{18}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{15}{8}\times \frac{18+5}{30}$$

Add 18 and 5 to get 23.

$$\frac{15}{8}\times \frac{23}{30}$$

Multiply \frac{15}{8} times \frac{23}{30} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 23}{8\times 30}$$

Do the multiplications in the fraction \frac{15\times 23}{8\times 30}.

$$\frac{345}{240}$$

Reduce the fraction \frac{345}{240} to lowest terms by extracting and canceling out 15.

$$\frac{23}{16}$$

Factor

$$\frac{23}{2 ^ {4}} = 1\frac{7}{16} = 1.4375$$