Evaluate.

3 1/3−5 3/5

Hint: Rewrite the mixed numbers as improper fractions before subtracting. Make sure your answer has the correct sign.

Enter your answer as a mixed number, like this: 4 5/6



Answer :

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).