Solve -(-4/7)+1/4]+(7/-16)=(-4/7)+[frac{1}{4}+(frac{7}{-16})]

$$- ( \frac { - 4 } { 7 } ) + \frac { 1 } { 4 } ] + ( \frac { 7 } { - 16 } ) = ( \frac { - 4 } { 7 } ) + [ \frac { 1 } { 4 } + ( \frac { 7 } { - 16 } ) ]$$

Evaluate

$$\frac{23}{28}\approx 0.821428571$$

Solution Steps

Fraction \frac{-4}{7} can be rewritten as -\frac{4}{7} by extracting the negative sign.

$$-\left(-\frac{4}{7}\right)+\frac{1}{4}$$

The opposite of -\frac{4}{7} is \frac{4}{7}.

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

Least common multiple of 7 and 4 is 28. Convert \frac{4}{7} and \frac{1}{4} to fractions with denominator 28.

$$\frac{16}{28}+\frac{7}{28}$$

Since \frac{16}{28} and \frac{7}{28} have the same denominator, add them by adding their numerators.

$$\frac{16+7}{28}$$

Add 16 and 7 to get 23.

$$\frac{23}{28}$$

Factor

$$\frac{23}{2 ^ {2} \cdot 7} = 0.8214285714285714$$