Solve 6/7+1/6

$$\frac { 6 } { 7 } + \frac { 1 } { 6 }$$

Evaluate

$$\frac{43}{42}\approx 1.023809524$$

Solution Steps

Least common multiple of 7 and 6 is 42. Convert \frac{6}{7} and \frac{1}{6} to fractions with denominator 42.

$$\frac{36}{42}+\frac{7}{42}$$

Since \frac{36}{42} and \frac{7}{42} have the same denominator, add them by adding their numerators.

$$\frac{36+7}{42}$$

Add 36 and 7 to get 43.

$$\frac{43}{42}$$

Factor

$$\frac{43}{2 \cdot 3 \cdot 7} = 1\frac{1}{42} = 1.0238095238095237$$