Question

Если в некоторой дроби пренести запятую влево через одну цифру ,то она у меньшится на 23,76.Найдите эту дробь .Помогите Пж СРОЧНО!!!

Answer 1

X-x/10=23.76
x-0.1x=23.76
0.9x=23.76
x=23.76/0.9
x=26.4

Answer 2

Problem Analysis

We are given a fraction where the decimal point is moved one digit to the left, resulting in a decrease of 23.76. We need to find the original fraction.

Solution

Let's assume the original fraction is represented as x/y. When we move the decimal point one digit to the left, the resulting fraction can be represented as (10x + y)/10. According to the problem, this new fraction is 23.76 less than the original fraction.

We can set up the following equation based on the given information:

(10x + y)/10 = x/y - 23.76

To solve this equation, we can multiply both sides by 10y to eliminate the denominators:

y(10x + y) = 10xy - 23.76y

Expanding and rearranging the equation, we get:

10xy + y^2 = 10xy - 23.76y

Simplifying further, we have:

y^2 = -23.76y

Now, we can solve this quadratic equation for y. By factoring out y, we get:

y(y + 23.76) = 0

This equation has two possible solutions: y = 0 or y = -23.76.

If y = 0, the original fraction would be undefined since division by zero is not allowed. Therefore, we can conclude that y = -23.76.

Substituting y = -23.76 back into the equation, we can solve for x:

x = (10xy + y^2)/(10y) = (10x(-23.76) + (-23.76)^2)/(10(-23.76))

Evaluating this expression, we find:

x = 23.76/10 = 2.376

Therefore, the original fraction is 2.376/-23.76.

Answer

The original fraction, when the decimal point is moved one digit to the left, resulting in a decrease of 23.76, is 2.376/-23.76.