Solve 5-4-3/-6+2-2+2/4+2-27+36/16-4+8

$$\frac { 5 - 4 - 3 } { - 6 + 2 - 2 } + \frac { 2 } { 4 } + \frac { 2 - 27 + 36 } { 16 - 4 + 8 }$$

Evaluate

$$\frac{83}{60}\approx 1.383333333$$

Solution Steps

Subtract 4 from 5 to get 1.

$$\frac{1-3}{-6+2-2}+\frac{2}{4}+\frac{2-27+36}{16-4+8}$$

Subtract 3 from 1 to get -2.

$$\frac{-2}{-6+2-2}+\frac{2}{4}+\frac{2-27+36}{16-4+8}$$

Add -6 and 2 to get -4.

$$\frac{-2}{-4-2}+\frac{2}{4}+\frac{2-27+36}{16-4+8}$$

Subtract 2 from -4 to get -6.

$$\frac{-2}{-6}+\frac{2}{4}+\frac{2-27+36}{16-4+8}$$

Reduce the fraction \frac{-2}{-6} to lowest terms by extracting and canceling out -2.

$$\frac{1}{3}+\frac{2}{4}+\frac{2-27+36}{16-4+8}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}+\frac{1}{2}+\frac{2-27+36}{16-4+8}$$

Least common multiple of 3 and 2 is 6. Convert \frac{1}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{2}{6}+\frac{3}{6}+\frac{2-27+36}{16-4+8}$$

Since \frac{2}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{2+3}{6}+\frac{2-27+36}{16-4+8}$$

Add 2 and 3 to get 5.

$$\frac{5}{6}+\frac{2-27+36}{16-4+8}$$

Subtract 27 from 2 to get -25.

$$\frac{5}{6}+\frac{-25+36}{16-4+8}$$

Add -25 and 36 to get 11.

$$\frac{5}{6}+\frac{11}{16-4+8}$$

Subtract 4 from 16 to get 12.

$$\frac{5}{6}+\frac{11}{12+8}$$

Add 12 and 8 to get 20.

$$\frac{5}{6}+\frac{11}{20}$$

Least common multiple of 6 and 20 is 60. Convert \frac{5}{6} and \frac{11}{20} to fractions with denominator 60.

$$\frac{50}{60}+\frac{33}{60}$$

Since \frac{50}{60} and \frac{33}{60} have the same denominator, add them by adding their numerators.

$$\frac{50+33}{60}$$

Add 50 and 33 to get 83.

$$\frac{83}{60}$$

Factor

$$\frac{83}{2 ^ {2} \cdot 3 \cdot 5} = 1\frac{23}{60} = 1.3833333333333333$$