Question

При якій умові сума дробів дорівнює їх добутку?

Answer 1

Мабуть якщо іх можна сумістити накладанням

Answer 2

Condition for the Sum of Fractions to Equal Their Product

To find the condition under which the sum of fractions equals their product, we can consider the general form of two fractions, a/b and c/d, where a, b, c, and d are integers and b and d are not equal to zero. The condition for the sum of these fractions to equal their product is when the sum of the fractions is equal to the product of the fractions. In mathematical terms, this can be represented as:

a/b + c/d = a/b * c/d

Let's solve this equation to find the condition.

Solution

Using the given search result snippets, we can see that the product of the fractions a/b and c/d is equal to the product of the numerators divided by the product of the denominators. This can be represented as:

a/b * c/d = (a * c) / (b * d)

Now, we can set up the equation:

a/b + c/d = (a * c) / (b * d)

From the search result snippet, we have the following examples: - 7/4 + 3/2 = 7 * 3 / 4 * 2 = 21/8 - 10/9 + 8/9 = 10 * 8 / 9 * 9 = 80/81 - (1/x) + (1/y) = 1 / (1/x * 1/y) = 1 / (1/xy) = xy

From these examples, we can see that the condition for the sum of fractions to equal their product is when the sum of the fractions is equal to the product of the fractions.

Therefore, the condition for the sum of fractions to equal their product is when a/b + c/d = (a * c) / (b * d).

This condition holds true for the given examples and can be generalized for any two fractions a/b and c/d.