Solve -34/9-27/12-5/1=

$$- 3 \frac { 4 } { 9 } - 2 \frac { 7 } { 12 } - \frac { 5 } { 1 } =$$

Evaluate

$$-\frac{397}{36}\approx -11.027777778$$

Solution Steps

Multiply 3 and 9 to get 27.

$$-\frac{27+4}{9}-\frac{2\times 12+7}{12}-\frac{5}{1}$$

Add 27 and 4 to get 31.

$$-\frac{31}{9}-\frac{2\times 12+7}{12}-\frac{5}{1}$$

Multiply 2 and 12 to get 24.

$$-\frac{31}{9}-\frac{24+7}{12}-\frac{5}{1}$$

Add 24 and 7 to get 31.

$$-\frac{31}{9}-\frac{31}{12}-\frac{5}{1}$$

Least common multiple of 9 and 12 is 36. Convert -\frac{31}{9} and \frac{31}{12} to fractions with denominator 36.

$$-\frac{124}{36}-\frac{93}{36}-\frac{5}{1}$$

Since -\frac{124}{36} and \frac{93}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-124-93}{36}-\frac{5}{1}$$

Subtract 93 from -124 to get -217.

$$-\frac{217}{36}-\frac{5}{1}$$

Anything divided by one gives itself.

$$-\frac{217}{36}-5$$

Convert 5 to fraction \frac{180}{36}.

$$-\frac{217}{36}-\frac{180}{36}$$

Since -\frac{217}{36} and \frac{180}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-217-180}{36}$$

Subtract 180 from -217 to get -397.

$$-\frac{397}{36}$$

Factor

$$-\frac{397}{36} = -11\frac{1}{36} = -11.027777777777779$$