To solve this problem, we first need to find the LCM, or least common multiple of 4 and 3 so we can find a common denominator to subtract these two fractions. The least common multiple of 4 and 3 is 12 because it is the smallest value that is divisible by both 4 and 3. This means that we should make both of the fractions over a denominator of 12.
To change 9/4, we must multiply by 3/3 (we don’t want to change the fraction’s value, we want an equivalent value over 12). 9*3/4*3 = 27/12. Similarly, we must multiply 4/3 by 4/4, so we get that 4*4/3*4 = 16/12.
Now, we have a simple subtraction problem with our least common denominator: 27/12 - 16/12. To solve, we can simply subtract the numerators because the denominators are the same. 27/12-16/12 = 11/12.
Therefore, your answer is 11/12 because this can’t be simplified further.
Hope this helps!
