Solve 2/7-(77/4)+1/3

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

Evaluate

$$-\frac{683}{84}\approx -8.130952381$$

Solution Steps

Multiply 7 and 4 to get 28.

$$\frac{2}{7}-\frac{28+7}{4}+\frac{1}{3}$$

Add 28 and 7 to get 35.

$$\frac{2}{7}-\frac{35}{4}+\frac{1}{3}$$

Least common multiple of 7 and 4 is 28. Convert \frac{2}{7} and \frac{35}{4} to fractions with denominator 28.

$$\frac{8}{28}-\frac{245}{28}+\frac{1}{3}$$

Since \frac{8}{28} and \frac{245}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-245}{28}+\frac{1}{3}$$

Subtract 245 from 8 to get -237.

$$-\frac{237}{28}+\frac{1}{3}$$

Least common multiple of 28 and 3 is 84. Convert -\frac{237}{28} and \frac{1}{3} to fractions with denominator 84.

$$-\frac{711}{84}+\frac{28}{84}$$

Since -\frac{711}{84} and \frac{28}{84} have the same denominator, add them by adding their numerators.

$$\frac{-711+28}{84}$$

Add -711 and 28 to get -683.

$$-\frac{683}{84}$$

Factor

$$-\frac{683}{84} = -8\frac{11}{84} = -8.130952380952381$$