Answer:
The value will be: 1,285,713
Step-by-step explanation:
We have the number:
N = 0.142857...
Such that we have 6 decimals after the decimal point that repeat infinitely.
Then let's start by multiplying our number by 1,000,000 (same number of zeros as decimals after the decimal point)
Then we get:
1,000,000*N = 142,857.142857...
Now let's subtract N from both sides:
1,000,000*N - N = 142,857.142857... - 0.142857...
999,999*N = 142,857
Now let's isolate N
N = 142,857/999,999
Here is our number expressed in the form m/n, where:
m = 142,857
n = 999,999
Then the value of (2*m + n) is:
(2*142,857 + 999,999) = 1,285,713
