Solve 85-7842div(56div82+7

$$85 - 7842 \div ( 56 \div 82 + 7$$

Evaluate

$$-\frac{98249}{105}\approx -935.704761905$$

Solution Steps

Reduce the fraction \frac{56}{82} to lowest terms by extracting and canceling out 2.

$$85-\frac{7842}{\frac{28}{41}+7}$$

Convert 7 to fraction \frac{287}{41}.

$$85-\frac{7842}{\frac{28}{41}+\frac{287}{41}}$$

Since \frac{28}{41} and \frac{287}{41} have the same denominator, add them by adding their numerators.

$$85-\frac{7842}{\frac{28+287}{41}}$$

Add 28 and 287 to get 315.

$$85-\frac{7842}{\frac{315}{41}}$$

Divide 7842 by \frac{315}{41} by multiplying 7842 by the reciprocal of \frac{315}{41}.

$$85-7842\times \frac{41}{315}$$

Express 7842\times \frac{41}{315} as a single fraction.

$$85-\frac{7842\times 41}{315}$$

Multiply 7842 and 41 to get 321522.

$$85-\frac{321522}{315}$$

Reduce the fraction \frac{321522}{315} to lowest terms by extracting and canceling out 3.

$$85-\frac{107174}{105}$$

Convert 85 to fraction \frac{8925}{105}.

$$\frac{8925}{105}-\frac{107174}{105}$$

Since \frac{8925}{105} and \frac{107174}{105} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8925-107174}{105}$$

Subtract 107174 from 8925 to get -98249.

$$-\frac{98249}{105}$$

Factor

$$-\frac{98249}{105} = -935\frac{74}{105} = -935.7047619047619$$