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

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

Evaluate

$$\frac{59}{84}\approx 0.702380952$$

Solution Steps

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$\frac{3}{4}-\frac{1}{3}+\frac{2}{7}$$

Least common multiple of 4 and 3 is 12. Convert \frac{3}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{9}{12}-\frac{4}{12}+\frac{2}{7}$$

Since \frac{9}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-4}{12}+\frac{2}{7}$$

Subtract 4 from 9 to get 5.

$$\frac{5}{12}+\frac{2}{7}$$

Least common multiple of 12 and 7 is 84. Convert \frac{5}{12} and \frac{2}{7} to fractions with denominator 84.

$$\frac{35}{84}+\frac{24}{84}$$

Since \frac{35}{84} and \frac{24}{84} have the same denominator, add them by adding their numerators.

$$\frac{35+24}{84}$$

Add 35 and 24 to get 59.

$$\frac{59}{84}$$

Factor

$$\frac{59}{2 ^ {2} \cdot 3 \cdot 7} = 0.7023809523809523$$