Solve 99665.1381+(3.49/1.008875)

$$99665.1381+( \frac{ 3.49 }{ 1.008875 } )$$

Evaluate

$$\frac{8044252496051}{80710000}\approx 99668.597398724$$

Solution Steps

Expand \frac{3.49}{1.008875} by multiplying both numerator and the denominator by 1000000.

$$99665.1381+\frac{3490000}{1008875}$$

Reduce the fraction \frac{3490000}{1008875} to lowest terms by extracting and canceling out 125.

$$99665.1381+\frac{27920}{8071}$$

Convert decimal number 99665.1381 to fraction \frac{996651381}{10000}.

$$\frac{996651381}{10000}+\frac{27920}{8071}$$

Least common multiple of 10000 and 8071 is 80710000. Convert \frac{996651381}{10000} and \frac{27920}{8071} to fractions with denominator 80710000.

$$\frac{8043973296051}{80710000}+\frac{279200000}{80710000}$$

Since \frac{8043973296051}{80710000} and \frac{279200000}{80710000} have the same denominator, add them by adding their numerators.

$$\frac{8043973296051+279200000}{80710000}$$

Add 8043973296051 and 279200000 to get 8044252496051.

$$\frac{8044252496051}{80710000}$$

Factor

$$\frac{37 \cdot 459031 \cdot 473633}{7 \cdot 1153 \cdot 2 ^ {4} \cdot 5 ^ {4}} = 99668\frac{48216051}{80710000} = 99668.59739872382$$