Solve 131-30+(-17)/-45+7/-18=

$$131 - 30 + ( - 17 ) / - 45 + 7 / - 18 =$$

Evaluate

$$\frac{9089}{90}\approx 100.988888889$$

Solution Steps

Subtract 30 from 131 to get 101.

$$101+\frac{-17}{-45}+\frac{7}{-18}$$

Fraction \frac{-17}{-45} can be simplified to \frac{17}{45} by removing the negative sign from both the numerator and the denominator.

$$101+\frac{17}{45}+\frac{7}{-18}$$

Convert 101 to fraction \frac{4545}{45}.

$$\frac{4545}{45}+\frac{17}{45}+\frac{7}{-18}$$

Since \frac{4545}{45} and \frac{17}{45} have the same denominator, add them by adding their numerators.

$$\frac{4545+17}{45}+\frac{7}{-18}$$

Add 4545 and 17 to get 4562.

$$\frac{4562}{45}+\frac{7}{-18}$$

Fraction \frac{7}{-18} can be rewritten as -\frac{7}{18} by extracting the negative sign.

$$\frac{4562}{45}-\frac{7}{18}$$

Least common multiple of 45 and 18 is 90. Convert \frac{4562}{45} and \frac{7}{18} to fractions with denominator 90.

$$\frac{9124}{90}-\frac{35}{90}$$

Since \frac{9124}{90} and \frac{35}{90} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9124-35}{90}$$

Subtract 35 from 9124 to get 9089.

$$\frac{9089}{90}$$

Factor

$$\frac{61 \cdot 149}{2 \cdot 3 ^ {2} \cdot 5} = 100\frac{89}{90} = 100.9888888888889$$