Solve 5/8+3/4*2/6

$$\frac{ 5 }{ 8 } + \frac{ 3 }{ 4 } \times \frac{ 2 }{ 6 }$$

Evaluate

$$\frac{7}{8}=0.875$$

Solution Steps

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{8}+\frac{3}{4}\times \frac{1}{3}$$

Multiply \frac{3}{4} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{8}+\frac{3\times 1}{4\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{5}{8}+\frac{1}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{5}{8} and \frac{1}{4} to fractions with denominator 8.

$$\frac{5}{8}+\frac{2}{8}$$

Since \frac{5}{8} and \frac{2}{8} have the same denominator, add them by adding their numerators.

$$\frac{5+2}{8}$$

Add 5 and 2 to get 7.

$$\frac{7}{8}$$

Factor

$$\frac{7}{2 ^ {3}} = 0.875$$