Answer: -2 4/15
Step-by-step explanation: To properly subtract, we need to find a common denominator. We can list the multiples of 3 and 5 to find the common denominator:
3: 3, 6, 9, 12, 15
5: 5, 10, 15
The first common multiple we see is 15.
Calculation:
3 · 3 = 9
9 + 1 = 10
3 1/3 = 10/3
5 x 5 = 25
25 + 3 = 28
-5 3/5 = -28/5
Now to convert into fifteen as the denominator:
-28/5 = -28 x 3/5 x 3 = -84/15
10/3 = 10 x 5/3 x 5 = 50/15
Now to subtract accordingly:
50/15 - 84/15 = -34/15
Final answer: -34/15 (can be reduced to -2 4/15).
