Solve -(6/7-2-1/5)

$$- ( \frac { 6 } { 7 } - 2 - \frac { 1 } { 5 } )$$

Evaluate

$$\frac{47}{35}\approx 1.342857143$$

Solution Steps

Convert 2 to fraction \frac{14}{7}.

$$-\left(\frac{6}{7}-\frac{14}{7}-\frac{1}{5}\right)$$

Since \frac{6}{7} and \frac{14}{7} have the same denominator, subtract them by subtracting their numerators.

$$-\left(\frac{6-14}{7}-\frac{1}{5}\right)$$

Subtract 14 from 6 to get -8.

$$-\left(-\frac{8}{7}-\frac{1}{5}\right)$$

Least common multiple of 7 and 5 is 35. Convert -\frac{8}{7} and \frac{1}{5} to fractions with denominator 35.

$$-\left(-\frac{40}{35}-\frac{7}{35}\right)$$

Since -\frac{40}{35} and \frac{7}{35} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{-40-7}{35}$$

Subtract 7 from -40 to get -47.

$$-\left(-\frac{47}{35}\right)$$

The opposite of -\frac{47}{35} is \frac{47}{35}.

$$\frac{47}{35}$$

Factor

$$\frac{47}{5 \cdot 7} = 1\frac{12}{35} = 1.3428571428571427$$