Solve 4/6+6/7

$$\frac { 4 } { 6 } + \frac { 6 } { 7 }$$

Evaluate

$$\frac{32}{21}\approx 1.523809524$$

Solution Steps

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}+\frac{6}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{2}{3} and \frac{6}{7} to fractions with denominator 21.

$$\frac{14}{21}+\frac{18}{21}$$

Since \frac{14}{21} and \frac{18}{21} have the same denominator, add them by adding their numerators.

$$\frac{14+18}{21}$$

Add 14 and 18 to get 32.

$$\frac{32}{21}$$

Factor

$$\frac{2 ^ {5}}{3 \cdot 7} = 1\frac{11}{21} = 1.5238095238095237$$