Answer:
First, multiply the numerators together and the denominators together.
3 · 7 = 21 and 2 · 4 = 8. So, (3/2) · (7/4) = 21/8
Now, you have an improper fraction which you need to change into a proper fraction. To do that, see how many times exactly the number from the denominator (in this case, 8) goes into the numerator (in this case, 21).
8 goes into 21 two times exactly. So, that's 8 · 2 = 16. Now you need to subtract the 16 from the original numerator (21) to get the remainder. 21 - 16 = 5. So, 5 is the remainder, and this your new numerator.
∴
is your final answer.