Solve 5/6+1/37/8

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

Evaluate

$$\frac{9}{8}=1.125$$

Solution Steps

Multiply \frac{1}{3} times \frac{7}{8} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 7}{3\times 8}.

$$\frac{5}{6}+\frac{7}{24}$$

Least common multiple of 6 and 24 is 24. Convert \frac{5}{6} and \frac{7}{24} to fractions with denominator 24.

$$\frac{20}{24}+\frac{7}{24}$$

Since \frac{20}{24} and \frac{7}{24} have the same denominator, add them by adding their numerators.

$$\frac{20+7}{24}$$

Add 20 and 7 to get 27.

$$\frac{27}{24}$$

Reduce the fraction \frac{27}{24} to lowest terms by extracting and canceling out 3.

$$\frac{9}{8}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {3}} = 1\frac{1}{8} = 1.125$$