Solve 5/6*8/4+1/8

$$\frac { 5 } { 6 } \times \frac { 8 } { 4 } + \frac { 1 } { 8 }$$

Evaluate

$$\frac{43}{24}\approx 1.791666667$$

Solution Steps

Divide 8 by 4 to get 2.

$$\frac{5}{6}\times 2+\frac{1}{8}$$

Express \frac{5}{6}\times 2 as a single fraction.

$$\frac{5\times 2}{6}+\frac{1}{8}$$

Multiply 5 and 2 to get 10.

$$\frac{10}{6}+\frac{1}{8}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 3 and 8 is 24. Convert \frac{5}{3} and \frac{1}{8} to fractions with denominator 24.

$$\frac{40}{24}+\frac{3}{24}$$

Since \frac{40}{24} and \frac{3}{24} have the same denominator, add them by adding their numerators.

$$\frac{40+3}{24}$$

Add 40 and 3 to get 43.

$$\frac{43}{24}$$

Factor

$$\frac{43}{2 ^ {3} \cdot 3} = 1\frac{19}{24} = 1.7916666666666667$$