Question

Какой общий знаменатель у дробей 37/115 и 38/175

Answer 1

37/20125 и 38/20125
1)если +
37/20125+38/20125=75/20125=15/4075=3/805.
2)если-
а)38/20125-37/20125=1/20125
б)37/20125-38/20125=-1/20125

Answer 2

Common Denominator of Fractions 37/115 and 38/175

To find the common denominator of the fractions 37/115 and 38/175, we need to determine the least common multiple (LCM) of the denominators 115 and 175.

The LCM of two numbers is the smallest multiple that both numbers share. To find the LCM, we can use various methods such as prime factorization or the method of listing multiples. In this case, let's use the method of listing multiples.

For the denominator 115, the first few multiples are: 115, 230, 345, 460, 575, 690, 805, 920, 1035, 1150, ...

For the denominator 175, the first few multiples are: 175, 350, 525, 700, 875, 1050, 1225, 1400, 1575, 1750, ...

By examining the lists, we can see that the first common multiple of 115 and 175 is 1150. Therefore, the common denominator for the fractions 37/115 and 38/175 is 1150.

Now, let's express the fractions with the common denominator of 1150:

37/115 = (37/115) * (10/10) = (37 * 10) / (115 * 10) = 370/1150

38/175 = (38/175) * (10/10) = (38 * 10) / (175 * 10) = 380/1750

So, the fractions 37/115 and 38/175 can be expressed with the common denominator of 1150 as 370/1150 and 380/1750, respectively.

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