Solve 1/7+3/4+1/3

$$\frac { 1 } { 7 } + \frac { 3 } { 4 } + \frac { 1 } { 3 }$$

Evaluate

$$\frac{103}{84}\approx 1.226190476$$

Solution Steps

Least common multiple of 7 and 4 is 28. Convert \frac{1}{7} and \frac{3}{4} to fractions with denominator 28.

$$\frac{4}{28}+\frac{21}{28}+\frac{1}{3}$$

Since \frac{4}{28} and \frac{21}{28} have the same denominator, add them by adding their numerators.

$$\frac{4+21}{28}+\frac{1}{3}$$

Add 4 and 21 to get 25.

$$\frac{25}{28}+\frac{1}{3}$$

Least common multiple of 28 and 3 is 84. Convert \frac{25}{28} and \frac{1}{3} to fractions with denominator 84.

$$\frac{75}{84}+\frac{28}{84}$$

Since \frac{75}{84} and \frac{28}{84} have the same denominator, add them by adding their numerators.

$$\frac{75+28}{84}$$

Add 75 and 28 to get 103.

$$\frac{103}{84}$$

Factor

$$\frac{103}{2 ^ {2} \cdot 3 \cdot 7} = 1\frac{19}{84} = 1.2261904761904763$$