Question

noah is thinking of two fractions that have a sum of 35. each fraction has a numerator of 1. what are the denominators of the fractions? enter your answers in the boxes.

Answer 1

Not enough information to solve for one set of fractions that add to 35. See below.

Explanation:

Let M and N be the 2 denominators.

We are told that both fractions have 1 as their numerator. That means our factions are:

1/M and 1/N

We are told that (1/M + 1/N) = 35

But without any more information, I don't see how this could be solved.

For example, if M = 0.1:

(1/M + 1/N) = 35

(1/0.1 + 1/N) = 35

(10 + 1/N) = 35

1/N = 25

N = 1/25

------

(1/M + 1/N) = 35

(1/0.1 + 1/(1/25)) = 35

(10 + 25) = 35

But if M = 0.01,

(1/M + 1/N) = 35

(1/0.01 + 1/N) = 35

100 + 1/N = 35

1/N = -75

N = -(1/75)

Both are valid, as many (infinite) others.