(5)/(6) what the half of this fraction
The Correct Answer and Explanation is:
To find the half of the fraction (\frac{5}{6}), we need to divide the fraction by 2.
Step-by-Step Process:
- Understanding “half” of a fraction:
When we want to find the half of a fraction, we essentially want to divide the fraction by 2. This can be done by multiplying the fraction by (\frac{1}{2}), since dividing by 2 is equivalent to multiplying by (\frac{1}{2}). - The operation:
The fraction we are working with is (\frac{5}{6}). To find half of this fraction, we multiply it by (\frac{1}{2}):
[
\frac{5}{6} \times \frac{1}{2} = \frac{5 \times 1}{6 \times 2} = \frac{5}{12}
] - Result:
The half of (\frac{5}{6}) is (\frac{5}{12}).
Explanation:
When you multiply fractions, you multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together. In this case:
- The numerator is (5 \times 1 = 5)
- The denominator is (6 \times 2 = 12)
Thus, the resulting fraction is (\frac{5}{12}).
Why does this work?
Multiplying by (\frac{1}{2}) is the same as dividing by 2. You could think of it as splitting the original fraction into two equal parts. For example, (\frac{5}{6}) represents 5 parts out of 6 equal parts. When we find half of this, we divide it further, so each of the 6 parts is now split in half, resulting in (\frac{5}{12}).
This method applies universally to any fraction. If you want to find half of a fraction, you simply multiply the fraction by (\frac{1}{2}).