For a fraction, the sum of the numerator and denominator is 28. If the numerator subtracts 1, the fraction equals 2, and the original fraction is ()

For a fraction, the sum of the numerator and denominator is 28. If the numerator subtracts 1, the fraction equals 2, and the original fraction is ()

nineteen-ninths

For a fraction, if 8 is added to the numerator and 10 is subtracted from the denominator, the reduced fraction is equal to 3 / 4; if 18 is added to the numerator, 32 is added to the denominator,
It's reduced to 1 / 2. What's the score?

I didn't learn negative numbers in primary school, so I can answer it as follows
1. The common multiple of 1 / 2 and 3 / 4 is 3 / 4
2. Expand three quarters by eight times, then by nine, ten, eleven times
3. Try to make the values meet the requirements given by the conditions in turn

Add a certain number to 43 / 61 numerator and denominator at the same time to get 7 / 9?

Let the number added be X
（43+X）/（61+X）=7/9
7(61+X)=9(43+X)
427+7X=387+9X
9X-7X=427-387
2X=40
X=20
The number added is 20

A minimalist fraction expands its numerator to five times of the original one, and reduces its denominator to one-third of the original one, which is equal to 25 / 2. What is the original fraction

5/6
Let the numerator be x and the denominator be y
Because the score is the simplest score, it can be obtained
5x/(y/3)=25/2
We get x = 5, y = 6
The original score is 5 / 6