Finding one-half of one-fourth can be done through multiplication and division of fractions. To begin, we need to convert both fractions into a common denominator.
The denominator of one fourth is 4, so we can write it as 1/4 = 2/8. Similarly, the denominator of one half is 2, so we can write it as 1/2 = 4/8. Now that both fractions have the same denominator, we can multiply the numerators to get our answer.
To find one half of one fourth, we can multiply 2/8 by 4/8, which gives us:
2/8 x 4/8 = 8/64
Simplifying this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 8. This gives us:
8/64 ÷ 8/64 = 1/8
Therefore, one half of one fourth is equal to 1/8.
In other words, if we divide a pizza into 8 equal slices, taking one half of one fourth would mean taking only one slice of the pizza.
To understand this concept further, we can break down the process of finding one half of one fourth into several steps.
Step 1: Convert the fractions into a common denominator.
In this case, we converted one fourth into 2/8 and one half into 4/8. This was done by multiplying one fourth by 2/2 and one half by 4/4, which doesn’t change their values but allows us to have a common denominator.
Step 2: Multiply the numerators of the fractions.
Now that both fractions have the same denominator, we can multiply their numerators to find the product of the two fractions. In this case, we multiplied 2/8 by 4/8, which gave us 8/64.
Step 3: Simplify the fraction.
To simplify the fraction, we need to divide both the numerator and denominator by their greatest common factor, which is 8. This gives us 1/8.
Therefore, one half of one fourth is equal to 1/8.
We can also represent this as a visual diagram. Let’s say we have a rectangle that represents one whole. We can divide it into four equal parts to represent one fourth, and then divide each of those parts into two equal parts to represent one half. This gives us a total of 8 equal parts.
If we shade in one half of one fourth, we can see that we are only shading in one of the 8 equal parts. Therefore, one half of one fourth is equal to 1/8.
In conclusion, finding one half of one fourth involves converting the fractions into a common denominator, multiplying their numerators, and simplifying the resulting fraction. In this case, we found that one half of one fourth is equal to 1/8. This can also be represented visually as shading in one of the 8 equal parts of a rectangle.