After the fourth month of a 12-month loan: the numerator is: {(n + ) + (n + ) + (n + ) + (n + )} = , and the denominator is: {(n) + (n + 1) + + (n + )} = . therefore, the fraction is numerator/denominator (to the nearest tenth) = %.

85.90%

Step-by-step explanation:

n = 1 in this problem, because the loan is calculated from the first month itself.

Numerator :

{(n + 11) + (n + 10) + (n + 9) + (n + 8) + (n + 7) + (n + 6) + (n + 5)}

n + n + n + n + n + n + n = 7 (because n = 1)

7 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 = 67 (that's your numerator)

Denominator :

{(n) + (n + 1)... + (n + 11)}

add all of the n's together:

n + n + n + n + n + n + n + n + n + n + n + n = 12

Now you add that to the rest of the numbers:

12 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 = 78 (that's your denominator)

Percentage : Now for the percentage you just divide the numerator and the denominator and multiply the resultant by 100

so, converting firstly the mixed fractions to improper fractions and then "adding".

the one below it is a function