The numerator of the simplest fraction is reduced by 1 to 1 / 3, and the denominator is reduced by 1 to 5 Two out of ten. What's the score?

The numerator of the simplest fraction is reduced by 1 to 1 / 3, and the denominator is reduced by 1 to 5 Two out of ten. What's the score?


Let this number be x / y
(x-1)/y=1/3
x/(y-1)=2/5
3x-3=y
5x=2y-2
so
x=8
y=21
so this number is 8/21



A fraction, the numerator plus 3, is reduced to 2 / 3, the denominator minus 2, is reduced to 1 / 2, and this fraction is


x/y,(x+3)/y=2/3.x/(y-2)=1/2.
(x+3)/y=2/3.
x/(y-2)=1/2
arrangement:
2y=3x+9
2x=y-2
The solution is y = 2x + 2, 4x + 4 = 3x + 9, x = 5, y = 12
The score is: 5 / 12



A fraction, if the numerator remains unchanged and the denominator is added with 2, can be reduced to one fourth, the denominator remains unchanged, the numerator is subtracted by one, and the numerator is reduced to one ninth


The above equation is correct. But the numerator is 1.4 and the denominator is 3.6. There is no reduction here. So the correct answer should be 1.4/3.6. Or the numerator is 7 / 5 and the denominator is 18 / 5 in complex fraction. If the reduction is 7 / 18, it is not correct



For the numerator of a fraction, add 1 to each denominator, reduce it to 1 / 3, subtract 1 from each denominator, and reduce it to 1 / 4
1, the numerator of a fraction, add 1 to each denominator, simplify to 1 / 3, subtract 1 from each, simplify to 1 / 4, find the fraction
2. The sum of the numerator and denominator of a simplest fraction a is 92. If the numerator and denominator are all subtracted by 16, it is reduced to 1 / 3
I want the fractional equation
If (1 / x-3) - 2 = (K / 3-x), then the increasing root is 3, k = 1. Why is k equal to one?
4. Define * as X * y = 1 / XY + 1 / (x + 1) (y + a), 2 * 1 = (1 / 2) + 1 / (2 + 1) (1 + a) = 2 / 3, and calculate 25 * 26


Let this fraction be: A / b
(a+1)/(b+1)=1/3
b+1=3a+3
3a-b+2=0.1
(a-1)/(b-1)=1/4
b-1=4a-4
4a-b-3=0.2
Formula 2-1
a-5=0
a=5
By substituting a = 5 into 1, we get
3*5-b+2=0
b=17
The score is: 5 / 17
The sum of the numerator and denominator of the simplest fraction a is 92. If the numerator and denominator are all subtracted by 16, it is reduced to 1 / 3
Let the numerator of this fraction be: A and the denominator be: 92-a
(a-16)/(92-a-16)=1/3
(a-16)/(76-a)=1/3
76-a=3a-48
4a=124
a=31
The denominator is: 92-a = 92-31 = 61
The score is 31 / 61
3. Denominator cannot be 0,
1/(x-3)-2=k/(3-x)
1/(x-3)-k/(3-x)=2
1/(x-3)+k/(x-3)=2
(1+k)/(x-3)=2
2(x-3)=1+k
Substitute x = 3 to get
1+k=0
k=-1
4. Define * as X * y = 1 / XY + 1 / (x + 1) (y + a), 2 * 1 = (1 / 2) + 1 / (2 + 1) (1 + a) = 2 / 3, and calculate 25 * 26
2*1=(1/2)+1/(2+1)(1+A)=2/3
1/2+1/3(1+A)=2/3
3+2/(1+A)=4
2/(1+A)=1
1+A=2
A=1
25*26
=1/(25*26)+1/(25+26)(26+1)
=1/(25*26)+1/(51*27)