Solve 145956+35942div65-394/26

$$145956+35942 \div 65- \frac{ 394 }{ 26 }$$

Evaluate

$$\frac{732469}{5}=146493.8$$

Solution Steps

Convert 145956 to fraction \frac{9487140}{65}.

$$\frac{9487140}{65}+\frac{35942}{65}-\frac{394}{26}$$

Since \frac{9487140}{65} and \frac{35942}{65} have the same denominator, add them by adding their numerators.

$$\frac{9487140+35942}{65}-\frac{394}{26}$$

Add 9487140 and 35942 to get 9523082.

$$\frac{9523082}{65}-\frac{394}{26}$$

Reduce the fraction \frac{394}{26} to lowest terms by extracting and canceling out 2.

$$\frac{9523082}{65}-\frac{197}{13}$$

Least common multiple of 65 and 13 is 65. Convert \frac{9523082}{65} and \frac{197}{13} to fractions with denominator 65.

$$\frac{9523082}{65}-\frac{985}{65}$$

Since \frac{9523082}{65} and \frac{985}{65} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9523082-985}{65}$$

Subtract 985 from 9523082 to get 9522097.

$$\frac{9522097}{65}$$

Reduce the fraction \frac{9522097}{65} to lowest terms by extracting and canceling out 13.

$$\frac{732469}{5}$$

Factor

$$\frac{19 ^ {2} \cdot 2029}{5} = 146493\frac{4}{5} = 146493.8$$