Simplifies to 121/9 approx=13⁴⁄₉.
Multiply top and bottom by 4: 134,444,964,260/10,000,038,664.
It’s clear that the numerator is about 13 times the denominator.
Multiply the denominator by 13: 130,000,502,632 and subtract from the numerator:
4,444,461,628=4×1,111,115,407. Therefore, the quotient is 13+1,111,115,407/2,500,009,666.
According to our original simplification the fraction should be about 4/9.
Multiply the numerator by 9: 10,000,038663 and the denominator by 4: 10,000,038,664.
This shows how close the fraction is to 4/9, a difference of only 1 between these products.
If we let a/b represent the fraction (a=1,111,115,407, b=2,500,009,666), then 4b-9a=1, which can be written:
a/b=4/9-1/(9b), so 13+a/b=13⁴⁄₉-1/(9b), the original quotient.
The simplification becomes 13⁴⁄₉-1/22,500,086,994.