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

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

Evaluate

$$\frac{7}{3}\approx 2.333333333$$

Solution Steps

Least common multiple of 6 and 8 is 24. Convert \frac{5}{6} and \frac{5}{8} to fractions with denominator 24.

$$\left(\frac{20}{24}+\frac{15}{24}\right)\times \frac{8}{1\times 5}$$

Since \frac{20}{24} and \frac{15}{24} have the same denominator, add them by adding their numerators.

$$\frac{20+15}{24}\times \frac{8}{1\times 5}$$

Add 20 and 15 to get 35.

$$\frac{35}{24}\times \frac{8}{1\times 5}$$

Multiply 1 and 5 to get 5.

$$\frac{35}{24}\times \frac{8}{5}$$

Multiply \frac{35}{24} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 8}{24\times 5}$$

Do the multiplications in the fraction \frac{35\times 8}{24\times 5}.

$$\frac{280}{120}$$

Reduce the fraction \frac{280}{120} to lowest terms by extracting and canceling out 40.

$$\frac{7}{3}$$

Factor

$$\frac{7}{3} = 2\frac{1}{3} = 2.3333333333333335$$