Solve 2/7+(1/3+1/4)

$$\frac { 2 } { 7 } + ( \frac { 1 } { 3 } + \frac { 1 } { 4 } )$$

Evaluate

$$\frac{73}{84}\approx 0.869047619$$

Solution Steps

Least common multiple of 7 and 3 is 21. Convert \frac{2}{7} and \frac{1}{3} to fractions with denominator 21.

$$\frac{6}{21}+\frac{7}{21}+\frac{1}{4}$$

Since \frac{6}{21} and \frac{7}{21} have the same denominator, add them by adding their numerators.

$$\frac{6+7}{21}+\frac{1}{4}$$

Add 6 and 7 to get 13.

$$\frac{13}{21}+\frac{1}{4}$$

Least common multiple of 21 and 4 is 84. Convert \frac{13}{21} and \frac{1}{4} to fractions with denominator 84.

$$\frac{52}{84}+\frac{21}{84}$$

Since \frac{52}{84} and \frac{21}{84} have the same denominator, add them by adding their numerators.

$$\frac{52+21}{84}$$

Add 52 and 21 to get 73.

$$\frac{73}{84}$$

Factor

$$\frac{73}{2 ^ {2} \cdot 3 \cdot 7} = 0.8690476190476191$$