Solve -63-5:(-4)-1+9:[-3]

$$- 63 - 5 : ( - 4 ) - 1 + 9 : [ - 3 ]$$

Evaluate

$$-\frac{263}{4}=-65.75$$

Solution Steps

Fraction \frac{5}{-4} can be rewritten as -\frac{5}{4} by extracting the negative sign.

$$-63-\left(-\frac{5}{4}\right)-1+\frac{9}{-3}$$

The opposite of -\frac{5}{4} is \frac{5}{4}.

$$-63+\frac{5}{4}-1+\frac{9}{-3}$$

Convert -63 to fraction -\frac{252}{4}.

$$-\frac{252}{4}+\frac{5}{4}-1+\frac{9}{-3}$$

Since -\frac{252}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{-252+5}{4}-1+\frac{9}{-3}$$

Add -252 and 5 to get -247.

$$-\frac{247}{4}-1+\frac{9}{-3}$$

Convert 1 to fraction \frac{4}{4}.

$$-\frac{247}{4}-\frac{4}{4}+\frac{9}{-3}$$

Since -\frac{247}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-247-4}{4}+\frac{9}{-3}$$

Subtract 4 from -247 to get -251.

$$-\frac{251}{4}+\frac{9}{-3}$$

Divide 9 by -3 to get -3.

$$-\frac{251}{4}-3$$

Convert 3 to fraction \frac{12}{4}.

$$-\frac{251}{4}-\frac{12}{4}$$

Since -\frac{251}{4} and \frac{12}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-251-12}{4}$$

Subtract 12 from -251 to get -263.

$$-\frac{263}{4}$$

Factor

$$-\frac{263}{4} = -65\frac{3}{4} = -65.75$$