the expression below, each letter represents a different digit from 1 to 9. What are the three fractions?
( A/DE)+(B/FG)+(C/HI)=1
one solution is
5/34 + 7/68 + 9/12 = 1
There are five others.
Mr Steve could you tell me the other possibilities
To find the three fractions represented by the expression:
(A/DE) + (B/FG) + (C/HI) = 1,
we need to first determine the values of the variables A, B, C, D, E, F, G, H, and I.
Since the letters represent different digits from 1 to 9, we can use trial and error or logic to find the values that satisfy the equation.
1. Let's start by finding the denominator values (DE, FG, HI):
- Since the denominators in fractions cannot be zero, none of the variables D, E, F, G, H, or I can be zero.
- We also know that each digit from 1 to 9 must be used only once, so no variables can have the same value.
2. Now let's find the numerator values:
- Since the left side of the equation sums up to 1, the numerators (A, B, C) must add up to 1 as well.
- The fractions are additive, which means they don't interact with each other in terms of multiplication or division.
Based on these considerations, we can start guessing and checking the possible values for each variable until we find a combination that satisfies the equation.