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

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

Evaluate

$$\frac{87}{28}\approx 3.107142857$$

Solution Steps

Fraction \frac{-1}{7} can be rewritten as -\frac{1}{7} by extracting the negative sign.

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

Divide 4 by 2 to get 2.

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

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

$$-\frac{1}{7}+\frac{14}{7}-\left(-2\right)+\frac{-3}{4}$$

Since -\frac{1}{7} and \frac{14}{7} have the same denominator, add them by adding their numerators.

$$\frac{-1+14}{7}-\left(-2\right)+\frac{-3}{4}$$

Add -1 and 14 to get 13.

$$\frac{13}{7}-\left(-2\right)+\frac{-3}{4}$$

The opposite of -2 is 2.

$$\frac{13}{7}+2+\frac{-3}{4}$$

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

$$\frac{13}{7}+\frac{14}{7}+\frac{-3}{4}$$

Since \frac{13}{7} and \frac{14}{7} have the same denominator, add them by adding their numerators.

$$\frac{13+14}{7}+\frac{-3}{4}$$

Add 13 and 14 to get 27.

$$\frac{27}{7}+\frac{-3}{4}$$

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$\frac{27}{7}-\frac{3}{4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{27}{7} and \frac{3}{4} to fractions with denominator 28.

$$\frac{108}{28}-\frac{21}{28}$$

Since \frac{108}{28} and \frac{21}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{108-21}{28}$$

Subtract 21 from 108 to get 87.

$$\frac{87}{28}$$

Factor

$$\frac{3 \cdot 29}{2 ^ {2} \cdot 7} = 3\frac{3}{28} = 3.107142857142857$$