Solve -12/11-20/99div20/33

$$\frac { - 12 } { 11 } - \frac { 20 } { 99 } \div \frac { 20 } { 33 }$$

Evaluate

$$-\frac{47}{33}\approx -1.424242424$$

Solution Steps

Fraction \frac{-12}{11} can be rewritten as -\frac{12}{11} by extracting the negative sign.

$$-\frac{12}{11}-\frac{\frac{20}{99}}{\frac{20}{33}}$$

Divide \frac{20}{99} by \frac{20}{33} by multiplying \frac{20}{99} by the reciprocal of \frac{20}{33}.

$$-\frac{12}{11}-\frac{20}{99}\times \frac{33}{20}$$

Multiply \frac{20}{99} times \frac{33}{20} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{12}{11}-\frac{20\times 33}{99\times 20}$$

Cancel out 20 in both numerator and denominator.

$$-\frac{12}{11}-\frac{33}{99}$$

Reduce the fraction \frac{33}{99} to lowest terms by extracting and canceling out 33.

$$-\frac{12}{11}-\frac{1}{3}$$

Least common multiple of 11 and 3 is 33. Convert -\frac{12}{11} and \frac{1}{3} to fractions with denominator 33.

$$-\frac{36}{33}-\frac{11}{33}$$

Since -\frac{36}{33} and \frac{11}{33} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-36-11}{33}$$

Subtract 11 from -36 to get -47.

$$-\frac{47}{33}$$

Factor

$$-\frac{47}{33} = -1\frac{14}{33} = -1.4242424242424243$$