Add a number to the numerator of the simplest fraction, and the number is equal to 5 / 9, If you subtract the same number from its molecule, this fraction will be equal to 2 / 9. What is the original fraction?

Add a number to the numerator of the simplest fraction, and the number is equal to 5 / 9, If you subtract the same number from its molecule, this fraction will be equal to 2 / 9. What is the original fraction?

The sum of the two new fractions is equal to twice the original fraction
（5/9+2/9）/2=7/18
The original score was 7 / 18

If you add a number to a fraction, the fraction is equal to 5 / 7,
So this fraction is equal to 1 / 2, so find this fraction

Let X be the numerator, y the denominator, and m the addition and subtraction
7（X+M）=5Y M=（5Y-7X)/7
2（X-M）=Y M=（2X-Y)/2
（5Y-7X)/7=（12X-Y)/2
X/Y=17/28
The score is 17 / 28

5 times of a number plus 10 equals 7 times of it minus 6
There are two solutions, 1. Equation 2. Whatever

Equation method
Let this number be X
5x+10=7x-6
2x=16
x=8
Arithmetic:
（10+6）÷（7-5）=8

How much is a number plus 7 / 2 equal to 10, and how much is a number minus 7 / 2 equal to 5?

13/2,-3/2