Solve 19/6+1/7+5/6

$$\frac { 19 } { 6 } + \frac { 1 } { 7 } + \frac { 5 } { 6 }$$

Evaluate

$$\frac{29}{7}\approx 4.142857143$$

Solution Steps

Least common multiple of 6 and 7 is 42. Convert \frac{19}{6} and \frac{1}{7} to fractions with denominator 42.

$$\frac{133}{42}+\frac{6}{42}+\frac{5}{6}$$

Since \frac{133}{42} and \frac{6}{42} have the same denominator, add them by adding their numerators.

$$\frac{133+6}{42}+\frac{5}{6}$$

Add 133 and 6 to get 139.

$$\frac{139}{42}+\frac{5}{6}$$

Least common multiple of 42 and 6 is 42. Convert \frac{139}{42} and \frac{5}{6} to fractions with denominator 42.

$$\frac{139}{42}+\frac{35}{42}$$

Since \frac{139}{42} and \frac{35}{42} have the same denominator, add them by adding their numerators.

$$\frac{139+35}{42}$$

Add 139 and 35 to get 174.

$$\frac{174}{42}$$

Reduce the fraction \frac{174}{42} to lowest terms by extracting and canceling out 6.

$$\frac{29}{7}$$

Factor

$$\frac{29}{7} = 4\frac{1}{7} = 4.142857142857143$$