Question

Найдите несократимую дробь которая не изменяет своего значения при прибавлении её к числитель 6,а к знаменателю 10

Answer 1

Пусть х числитель ,а y знаменатель
составим уравнение x/y=x+6/y+10
x(y+10)=y(x+6)
xy+10x=yx+6y
10x=6y
5x=3y
x=3 y=5
ответ:8

Answer 2

Finding an Irreducible Fraction

To find an irreducible fraction that does not change its value when added to its numerator 6 and its denominator 10, we can use the following approach:

Let the irreducible fraction be represented as a/b. We want to find a fraction such that:

a/b + 6/b = (a+6)/b

We also want the fraction to be irreducible, meaning that the greatest common divisor (GCD) of a and b is 1.

Solution

To satisfy the given conditions, we can consider the fraction 1/4. When added to its numerator 6 and its denominator 10, the value remains unchanged.

Therefore, the irreducible fraction that meets the given conditions is 1/4.

This solution is based on the mathematical properties of fractions and their manipulation.