how do i solve this?
3 1/3 - 2 2/5
First thing you want to do is turn each complex fraction into improper fraction. So you get:
10/3 - 12/5
since the denominators are different, you want to find the least common denominator (LCM). In this case, it is 15. So, you need to turn the denominators into 15, by multiplying a number to the denominator and multiplying the same number to the numerator.
So, for the first fraction, you see that you can turn 3 into 15 by multiplying 5 to the denominator. That same number (5) should then be multiplied to the numerator as well. Therefore, 10/3 becomes 50/15. When you apply the same thought to the second fraction, you see that you can turn 5 into 15 by multiplying it with 3. So, the second fraction (12/5) becomes 36/15.
Now you can carry out the subtraction:
50/15 - 36/15
Subtract the numerators from one another. You get 50 - 36, which is 14.
So, the answer will be 14/15.
I hope this helps.