Final answer:
To find the number of 1/4s in 3 1/2, convert 3 1/2 to an improper fraction (7/2) and multiply by the reciprocal of 1/4. The result is 14, meaning there are 14 quarters in 3 1/2.
Step-by-step explanation:
To find out how many 1/4s are in 3 1/2, we first convert 3 1/2 into an improper fraction. Since 3 1/2 is the same as 3 + 1/2, and 3 can be represented as 6/2 (because 3 * 2 = 6), we then have 6/2 + 1/2, which equals 7/2. Now, to determine how many quarters (1/4s) are in 7/2, we divide 7/2 by 1/4.
To do this, we multiply 7/2 by the reciprocal of 1/4, which is 4/1. Thus, 7/2 \* 4/1 = 28/2 = 14. So, there are 14 quarters in 3 1/2.
To determine how many 1/4s are in 3 1/2, we need to divide 3 1/2 by 1/4. We can convert 3 1/2 to an improper fraction by multiplying the whole number (3) by the denominator (2) and adding the numerator (1), giving us 7/2. Then, we can divide 7/2 by 1/4.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, we have (7/2) x (4/1), which equals 28/2. Simplifying 28/2, we get 14. Therefore, there are 14 1/4s in 3 1/2.