Solve 7/6+3/8+4/7

$$\frac { 7 } { 6 } + \frac { 3 } { 8 } + \frac { 4 } { 7 }$$

Evaluate

$$\frac{355}{168}\approx 2.113095238$$

Solution Steps

Least common multiple of 6 and 8 is 24. Convert \frac{7}{6} and \frac{3}{8} to fractions with denominator 24.

$$\frac{28}{24}+\frac{9}{24}+\frac{4}{7}$$

Since \frac{28}{24} and \frac{9}{24} have the same denominator, add them by adding their numerators.

$$\frac{28+9}{24}+\frac{4}{7}$$

Add 28 and 9 to get 37.

$$\frac{37}{24}+\frac{4}{7}$$

Least common multiple of 24 and 7 is 168. Convert \frac{37}{24} and \frac{4}{7} to fractions with denominator 168.

$$\frac{259}{168}+\frac{96}{168}$$

Since \frac{259}{168} and \frac{96}{168} have the same denominator, add them by adding their numerators.

$$\frac{259+96}{168}$$

Add 259 and 96 to get 355.

$$\frac{355}{168}$$

Factor

$$\frac{5 \cdot 71}{2 ^ {3} \cdot 3 \cdot 7} = 2\frac{19}{168} = 2.113095238095238$$