Solve 1098+-35--17/81+76192/9

$$1098+-35-- \frac{ 17 }{ 81 } +76 \frac{ 192 }{ 9 }$$

Evaluate

$$\frac{94004}{81}\approx 1160.543209877$$

Solution Steps

Subtract 35 from 1098 to get 1063.

$$1063-\left(-\frac{17}{81}\right)+\frac{76\times 9+192}{9}$$

The opposite of -\frac{17}{81} is \frac{17}{81}.

$$1063+\frac{17}{81}+\frac{76\times 9+192}{9}$$

Convert 1063 to fraction \frac{86103}{81}.

$$\frac{86103}{81}+\frac{17}{81}+\frac{76\times 9+192}{9}$$

Since \frac{86103}{81} and \frac{17}{81} have the same denominator, add them by adding their numerators.

$$\frac{86103+17}{81}+\frac{76\times 9+192}{9}$$

Add 86103 and 17 to get 86120.

$$\frac{86120}{81}+\frac{76\times 9+192}{9}$$

Multiply 76 and 9 to get 684.

$$\frac{86120}{81}+\frac{684+192}{9}$$

Add 684 and 192 to get 876.

$$\frac{86120}{81}+\frac{876}{9}$$

Reduce the fraction \frac{876}{9} to lowest terms by extracting and canceling out 3.

$$\frac{86120}{81}+\frac{292}{3}$$

Least common multiple of 81 and 3 is 81. Convert \frac{86120}{81} and \frac{292}{3} to fractions with denominator 81.

$$\frac{86120}{81}+\frac{7884}{81}$$

Since \frac{86120}{81} and \frac{7884}{81} have the same denominator, add them by adding their numerators.

$$\frac{86120+7884}{81}$$

Add 86120 and 7884 to get 94004.

$$\frac{94004}{81}$$

Factor

$$\frac{2 ^ {2} \cdot 71 \cdot 331}{3 ^ {4}} = 1160\frac{44}{81} = 1160.5432098765432$$