Solve 7/6+6/7

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

Evaluate

$$\frac{85}{42}\approx 2.023809524$$

Solution Steps

Least common multiple of 6 and 7 is 42. Convert \frac{7}{6} and \frac{6}{7} to fractions with denominator 42.

$$\frac{49}{42}+\frac{36}{42}$$

Since \frac{49}{42} and \frac{36}{42} have the same denominator, add them by adding their numerators.

$$\frac{49+36}{42}$$

Add 49 and 36 to get 85.

$$\frac{85}{42}$$

Factor

$$\frac{5 \cdot 17}{2 \cdot 3 \cdot 7} = 2\frac{1}{42} = 2.0238095238095237$$