Solve (3(80-89)+6):(76-2-57)+36:45

$$( 3 ( 80 - 89 ) + 6 ) : ( 76 - 2 - 57 ) + 36 : 45$$

Evaluate

$$-\frac{37}{85}\approx -0.435294118$$

Solution Steps

Subtract 89 from 80 to get -9.

$$\frac{3\left(-9\right)+6}{76-2-57}+\frac{36}{45}$$

Multiply 3 and -9 to get -27.

$$\frac{-27+6}{76-2-57}+\frac{36}{45}$$

Add -27 and 6 to get -21.

$$\frac{-21}{76-2-57}+\frac{36}{45}$$

Subtract 2 from 76 to get 74.

$$\frac{-21}{74-57}+\frac{36}{45}$$

Subtract 57 from 74 to get 17.

$$\frac{-21}{17}+\frac{36}{45}$$

Fraction \frac{-21}{17} can be rewritten as -\frac{21}{17} by extracting the negative sign.

$$-\frac{21}{17}+\frac{36}{45}$$

Reduce the fraction \frac{36}{45} to lowest terms by extracting and canceling out 9.

$$-\frac{21}{17}+\frac{4}{5}$$

Least common multiple of 17 and 5 is 85. Convert -\frac{21}{17} and \frac{4}{5} to fractions with denominator 85.

$$-\frac{105}{85}+\frac{68}{85}$$

Since -\frac{105}{85} and \frac{68}{85} have the same denominator, add them by adding their numerators.

$$\frac{-105+68}{85}$$

Add -105 and 68 to get -37.

$$-\frac{37}{85}$$

Factor

$$-\frac{37}{85} = -0.43529411764705883$$