How do you convert 0.416 (6 being repeated) to a fraction?
1 Answer
Feb 20, 2016
Explanation:
The following is the standard procedure to solve the problem:
if
and
Then, if we subtract 1000x and 100x, we obtain:
So
Now multiply 41/100 by 9/9 for equalizing the denominators:
Now, for simplication, decompose the numerator and denominator in prime factors:
Now, the simpler:
If you have something that ends in 33333.... or 666666., you just have to multiply by three to remove the repetition:
Now, you have a number 1.25 which is easily recognizable as 5/4: