Solve -330*674/102-674+15/frac{-330left(100+100right){100}+100-(100+100)}

$$\frac{ \frac{ -330 \cdot 674 }{ 102 } -674+15 }{ \frac{ -330 \left( 100+100 \right) }{ 100 } +100-(100+100) }$$

Evaluate

$$\frac{48273}{12920}\approx 3.73630031$$

Solution Steps

Multiply -330 and 674 to get -222420.

$$\frac{\frac{-222420}{102}-674+15}{\frac{-330\left(100+100\right)}{100}+100-\left(100+100\right)}$$

Reduce the fraction \frac{-222420}{102} to lowest terms by extracting and canceling out 6.

$$\frac{-\frac{37070}{17}-674+15}{\frac{-330\left(100+100\right)}{100}+100-\left(100+100\right)}$$

Convert 674 to fraction \frac{11458}{17}.

$$\frac{-\frac{37070}{17}-\frac{11458}{17}+15}{\frac{-330\left(100+100\right)}{100}+100-\left(100+100\right)}$$

Since -\frac{37070}{17} and \frac{11458}{17} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{-37070-11458}{17}+15}{\frac{-330\left(100+100\right)}{100}+100-\left(100+100\right)}$$

Subtract 11458 from -37070 to get -48528.

$$\frac{-\frac{48528}{17}+15}{\frac{-330\left(100+100\right)}{100}+100-\left(100+100\right)}$$

Convert 15 to fraction \frac{255}{17}.

$$\frac{-\frac{48528}{17}+\frac{255}{17}}{\frac{-330\left(100+100\right)}{100}+100-\left(100+100\right)}$$

Since -\frac{48528}{17} and \frac{255}{17} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-48528+255}{17}}{\frac{-330\left(100+100\right)}{100}+100-\left(100+100\right)}$$

Add -48528 and 255 to get -48273.

$$\frac{-\frac{48273}{17}}{\frac{-330\left(100+100\right)}{100}+100-\left(100+100\right)}$$

Add 100 and 100 to get 200.

$$\frac{-\frac{48273}{17}}{\frac{-330\times 200}{100}+100-\left(100+100\right)}$$

Multiply -330 and 200 to get -66000.

$$\frac{-\frac{48273}{17}}{\frac{-66000}{100}+100-\left(100+100\right)}$$

Divide -66000 by 100 to get -660.

$$\frac{-\frac{48273}{17}}{-660+100-\left(100+100\right)}$$

Add -660 and 100 to get -560.

$$\frac{-\frac{48273}{17}}{-560-\left(100+100\right)}$$

Add 100 and 100 to get 200.

$$\frac{-\frac{48273}{17}}{-560-200}$$

Subtract 200 from -560 to get -760.

$$\frac{-\frac{48273}{17}}{-760}$$

Express \frac{-\frac{48273}{17}}{-760} as a single fraction.

$$\frac{-48273}{17\left(-760\right)}$$

Multiply 17 and -760 to get -12920.

$$\frac{-48273}{-12920}$$

Fraction \frac{-48273}{-12920} can be simplified to \frac{48273}{12920} by removing the negative sign from both the numerator and the denominator.

$$\frac{48273}{12920}$$

Factor

$$\frac{3 \cdot 16091}{2 ^ {3} \cdot 5 \cdot 17 \cdot 19} = 3\frac{9513}{12920} = 3.736300309597523$$