Fractions are a fundamental part of math, and they help us understand how we can represent numbers that aren’t whole. They consist of two numbers separated by a horizontal line, with the number on top representing the part being considered and the number on the bottom representing the total number of equal parts that make up the whole. For example, 1/2 represents one part out of two equal parts that make up a whole.
To find half of a fraction, we need to divide the numerator (the top number) by two while keeping the denominator (the bottom number) the same. The reason we divide the numerator by two is that we’re trying to find half of the fraction, which means we’re looking for a fraction that represents half of the original amount.
So, let’s consider the fraction 1/8. If we want to find half of this fraction, we need to divide the numerator by 2. That gives us 1 ÷ 2 = 1/2. However, we’re not done yet. We need to keep the denominator of 8 because we want to end up with a fraction that has the same number of equal parts as the original fraction.
To do that, we can divide 1/2 by 8. To divide a fraction by another fraction, we need to multiply the first fraction by the reciprocal (flip the numerator and denominator) of the second fraction. In this case, the reciprocal of 8 is 1/8. Therefore, we can write:
1/2 ÷ 8 = 1/2 x 1/8
To multiply fractions, we simply multiply the numerators together and the denominators together. In this case, we get:
1/2 x 1/8 = 1/16
Therefore, half of 1/8 is 1/16.
In summary, we arrived at the answer by first dividing the numerator of the original fraction by 2 to find half of the fraction, and then dividing the resulting fraction by the original denominator to keep the same number of equal parts. We then simplified the resulting fraction by multiplying the numerators together and the denominators together to get the final answer, which is 1/16.
It’s important to understand that fractions can be confusing, and it’s not uncommon to make mistakes when working with them. However, with practice and a solid understanding of the basics, anyone can become proficient in working with fractions.
In conclusion, half of 1/8 is 1/16. We arrived at the answer by dividing the numerator of the original fraction by 2 to find half of the fraction, and then dividing the resulting fraction by the original denominator to keep the same number of equal parts. We then simplified the resulting fraction by multiplying the numerators together and the denominators together to get the final answer.