Find the fraction which lies exactly halfway between 1/2 and 1/4
1/4 .... 2/4
2/8 .... 4/8
2/8 3/8 4/8
x-1/4 = 1/2(1/2-1/4)
x-1/4 = 1/2 * 1/4
X = 3/8.
To find the fraction that lies exactly halfway between 1/2 and 1/4, we need to find the average of these two fractions.
Step 1: Find a common denominator for both fractions, since they have different denominators. In this case, the least common denominator (LCD) is 4, as both fractions will have 4 as the denominator.
Step 2: Rewrite 1/2 and 1/4 with the common denominator of 4.
1/2 = 2/4 (multiply the numerator and denominator by 2)
1/4 = 1/4 (it already has the common denominator)
Now we have 2/4 and 1/4 as our equivalent fractions.
Step 3: Find the average of these two fractions by adding them together and dividing the sum by 2.
(2/4 + 1/4) / 2 = 3/4 / 2 = 3/4 * 1/2 = 3/8
So, the fraction that lies exactly halfway between 1/2 and 1/4 is 3/8.