
найдите общий знаменатель для дробей 12/25 и 13/15


Ответы на вопрос




Finding the Common Denominator for Fractions 12/25 and 13/15
To find the common denominator for the fractions 12/25 and 13/15, we need to determine the smallest number that both denominators, 25 and 15, can divide evenly into.
The common denominator is the least common multiple (LCM) of the two denominators.
To find the LCM of 25 and 15, we can use different methods such as prime factorization or listing multiples.
Using the method of listing multiples, we can find the multiples of 25 and 15 and identify the smallest number that appears in both lists.
The multiples of 25 are: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, ...
The multiples of 15 are: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, ...
From the lists, we can see that the smallest number that appears in both lists is 75. Therefore, the common denominator for 12/25 and 13/15 is 75.
Now, let's verify this using the search results.
According to a search result snippet from the common denominator for fractions can be found by multiplying the denominators together and dividing by their greatest common divisor (GCD). However, this snippet does not provide specific information about finding the LCM.
Another search result snippet from mentions finding the common denominator for fractions by converting them to equivalent fractions with the same denominator. However, it does not provide a specific method for finding the common denominator.
Based on the search results, it seems that the method of listing multiples is the most straightforward way to find the common denominator for fractions.
Therefore, the common denominator for the fractions 12/25 and 13/15 is 75.


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