Solve 1/3+3/14+1/7

$$\frac { 1 } { 3 } + \frac { 3 } { 14 } + \frac { 1 } { 7 }$$

Evaluate

$$\frac{29}{42}\approx 0.69047619$$

Solution Steps

Least common multiple of 3 and 14 is 42. Convert \frac{1}{3} and \frac{3}{14} to fractions with denominator 42.

$$\frac{14}{42}+\frac{9}{42}+\frac{1}{7}$$

Since \frac{14}{42} and \frac{9}{42} have the same denominator, add them by adding their numerators.

$$\frac{14+9}{42}+\frac{1}{7}$$

Add 14 and 9 to get 23.

$$\frac{23}{42}+\frac{1}{7}$$

Least common multiple of 42 and 7 is 42. Convert \frac{23}{42} and \frac{1}{7} to fractions with denominator 42.

$$\frac{23}{42}+\frac{6}{42}$$

Since \frac{23}{42} and \frac{6}{42} have the same denominator, add them by adding their numerators.

$$\frac{23+6}{42}$$

Add 23 and 6 to get 29.

$$\frac{29}{42}$$

Factor

$$\frac{29}{2 \cdot 3 \cdot 7} = 0.6904761904761905$$