Solve 2/55+6/77

$$\frac { 2 } { 55 } + \frac { 6 } { 77 }$$

Evaluate

$$\frac{4}{35}\approx 0.114285714$$

Solution Steps

Least common multiple of 55 and 77 is 385. Convert \frac{2}{55} and \frac{6}{77} to fractions with denominator 385.

$$\frac{14}{385}+\frac{30}{385}$$

Since \frac{14}{385} and \frac{30}{385} have the same denominator, add them by adding their numerators.

$$\frac{14+30}{385}$$

Add 14 and 30 to get 44.

$$\frac{44}{385}$$

Reduce the fraction \frac{44}{385} to lowest terms by extracting and canceling out 11.

$$\frac{4}{35}$$

Factor

$$\frac{2 ^ {2}}{5 \cdot 7} = 0.11428571428571428$$