Question

Числителе дроби увеличили на 10%, а знаменатель увеличили на 25 %. На сколько процентов уменьшилась дробь? Действиями,без всяких х и у

Answer 1

Числитель увеличили на 10% т.е он равен 110%
знаменатель на 25% т.е он составляет 125%
110%/125%=0,88 это число составляет 88%
100%-88%=12% уменьшилась дробь
За 100% принимаем начальное значение дроби

Answer 2

Calculating the Percentage Change in a Fraction

To calculate the percentage change in a fraction when the numerator is increased by 10% and the denominator is increased by 25%, we can follow these steps:

1. Initial Fraction: Let's assume the initial fraction is represented as a/b.

2. Increase in Numerator and Denominator: - The numerator is increased by 10%, resulting in 1.1a. - The denominator is increased by 25%, resulting in 1.25b.

3. New Fraction: The new fraction is 1.1a / 1.25b.

4. Calculating the Percentage Change: To find the percentage change, we can use the formula: \[ \text{Percentage Change} = \left( \frac{\text{New Value - Old Value}}{\text{Old Value}} \right) \times 100\% \]

Applying this formula to the fraction, we get: \[ \text{Percentage Change} = \left( \frac{\left( \frac{1.1a}{1.25b} - \frac{a}{b} \right)}{\frac{a}{b}} \right) \times 100\% \]

Simplifying this expression will give us the percentage change in the fraction.

Let's calculate the percentage change using the given information.