Solve 7/9+2/7+2/9

$$\frac { 7 } { 9 } + \frac { 2 } { 7 } + \frac { 2 } { 9 }$$

Evaluate

$$\frac{9}{7}\approx 1.285714286$$

Solution Steps

Least common multiple of 9 and 7 is 63. Convert \frac{7}{9} and \frac{2}{7} to fractions with denominator 63.

$$\frac{49}{63}+\frac{18}{63}+\frac{2}{9}$$

Since \frac{49}{63} and \frac{18}{63} have the same denominator, add them by adding their numerators.

$$\frac{49+18}{63}+\frac{2}{9}$$

Add 49 and 18 to get 67.

$$\frac{67}{63}+\frac{2}{9}$$

Least common multiple of 63 and 9 is 63. Convert \frac{67}{63} and \frac{2}{9} to fractions with denominator 63.

$$\frac{67}{63}+\frac{14}{63}$$

Since \frac{67}{63} and \frac{14}{63} have the same denominator, add them by adding their numerators.

$$\frac{67+14}{63}$$

Add 67 and 14 to get 81.

$$\frac{81}{63}$$

Reduce the fraction \frac{81}{63} to lowest terms by extracting and canceling out 9.

$$\frac{9}{7}$$

Factor

$$\frac{3 ^ {2}}{7} = 1\frac{2}{7} = 1.2857142857142858$$