Solve 4/7+1/16

$$\frac { 4 } { 7 } + \frac { 1 } { 16 }$$

Evaluate

$$\frac{71}{112}\approx 0.633928571$$

Solution Steps

Least common multiple of 7 and 16 is 112. Convert \frac{4}{7} and \frac{1}{16} to fractions with denominator 112.

$$\frac{64}{112}+\frac{7}{112}$$

Since \frac{64}{112} and \frac{7}{112} have the same denominator, add them by adding their numerators.

$$\frac{64+7}{112}$$

Add 64 and 7 to get 71.

$$\frac{71}{112}$$

Factor

$$\frac{71}{2 ^ {4} \cdot 7} = 0.6339285714285714$$