Приведите дробь -1/2 и 1/4 к знаменятелю а) 8; б) 28; в) 36СРОЧНО ПРОШУ ВАС!
Ответы на вопрос
Ответ:
1/2=4/8=14/28=18/36
1/4=2/8=7/28=9/36
Converting Fractions to Different Denominators
To convert the fractions -1/2 and 1/4 to a common denominator, we can follow these steps:
1. Find the least common multiple (LCM) of the denominators. 2. Rewrite each fraction with the common denominator.
Let's proceed with the conversion.
Finding the Least Common Multiple (LCM)
The denominators we have are 2 and 4. To find the least common multiple, we can use the following approach:
The prime factorization of 2 is 2. The prime factorization of 4 is 2^2.
The LCM is the product of the highest power of all prime factors involved. In this case, the LCM of 2 and 4 is 4.
Converting the Fractions
Now, let's convert the fractions to the common denominator of 4.
-1/2 can be rewritten with a denominator of 4 as follows: -1/2 = -2/4
1/4 remains the same.
So, when both fractions are expressed with a common denominator of 4, we have: -1/2 = -2/4 1/4 = 1/4
Therefore, when the fractions -1/2 and 1/4 are converted to a common denominator of 4, we get: -1/2 = -2/4 1/4 = 1/4
This completes the conversion process.
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