Answer: The answer is B.
Explanation:
To figure out, you must first turn the mixed fraction (3 1/2) into an improper fraction (7/2). We can do so by:
3 * 2 = 6
6 + 1 = 7 or 7/2
Next, you follow the rules of KCF: Keep, Change, Flip. Keep the first fraction, Change the sign to its inverse operation, and Flip the second fraction.
Our original equation is 7/2 /(divided by) 3/2 = ?
1. Keep the first fraction
7/2 / 3/2 = 7/2 / 32
2. Change the sign to its inverse operation
7/2 / 3/2 = 7/2 * 3/2
3. Flip the second fraction
7/2 * 3/2 = 7/2 * 2/3
Now, solve.
7/2 * 2/3
7 * 2 / 2 * 3 = 14/6
To make this a proper mixed number, first simplify.
14/6 / 2 = 7/3
Now, figure out how many wholes are in 7/3.
7/3 / 3 = 2 1/3
This is because 2 times 3 is six, and 7 minus 6 equals 1, or 1/3.
Therefore, the answer is 7/3 OR 2 1/3 OR B