Solve 1/42+5/6

$$\frac { 1 } { 42 } + \frac { 5 } { 6 }$$

Evaluate

$$\frac{6}{7}\approx 0.857142857$$

Solution Steps

Least common multiple of 42 and 6 is 42. Convert \frac{1}{42} and \frac{5}{6} to fractions with denominator 42.

$$\frac{1}{42}+\frac{35}{42}$$

Since \frac{1}{42} and \frac{35}{42} have the same denominator, add them by adding their numerators.

$$\frac{1+35}{42}$$

Add 1 and 35 to get 36.

$$\frac{36}{42}$$

Reduce the fraction \frac{36}{42} to lowest terms by extracting and canceling out 6.

$$\frac{6}{7}$$

Factor

$$\frac{2 \cdot 3}{7} = 0.8571428571428571$$