Solve -6.3-5:(-4)-1+9:[-3]

$$- 6.3 - 5 : ( - 4 ) - 1 + 9 : [ - 3 ]$$

Evaluate

$$-9.05$$

Solution Steps

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

$$-6.3-\left(-\frac{5}{4}\right)-1+\frac{9}{-3}$$

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

$$-6.3+\frac{5}{4}-1+\frac{9}{-3}$$

Convert decimal number -6.3 to fraction -\frac{63}{10}.

$$-\frac{63}{10}+\frac{5}{4}-1+\frac{9}{-3}$$

Least common multiple of 10 and 4 is 20. Convert -\frac{63}{10} and \frac{5}{4} to fractions with denominator 20.

$$-\frac{126}{20}+\frac{25}{20}-1+\frac{9}{-3}$$

Since -\frac{126}{20} and \frac{25}{20} have the same denominator, add them by adding their numerators.

$$\frac{-126+25}{20}-1+\frac{9}{-3}$$

Add -126 and 25 to get -101.

$$-\frac{101}{20}-1+\frac{9}{-3}$$

Convert 1 to fraction \frac{20}{20}.

$$-\frac{101}{20}-\frac{20}{20}+\frac{9}{-3}$$

Since -\frac{101}{20} and \frac{20}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-101-20}{20}+\frac{9}{-3}$$

Subtract 20 from -101 to get -121.

$$-\frac{121}{20}+\frac{9}{-3}$$

Divide 9 by -3 to get -3.

$$-\frac{121}{20}-3$$

Convert 3 to fraction \frac{60}{20}.

$$-\frac{121}{20}-\frac{60}{20}$$

Since -\frac{121}{20} and \frac{60}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-121-60}{20}$$

Subtract 60 from -121 to get -181.

$$-\frac{181}{20}$$

Factor

$$-9.05$$