Find the difference between8/15 and −2/3. Show all calculations in your final answer.

6/5

Step-by-step explanation:

8/15 - (-2/3)

8/15 + 2/3

24 + 30/45

54/45 = 6/5

Thus, the difference between 8/15 and -2/3 is 6/5

Start by changing the minus a negative to plus a positive.

So we have 8/15 + 2/3.

To add these two fractions together, we need a common denominator.

The common denominator is simply the

least common multiple for the two denominators.

You should find that the least common multiple is 15.

Since 8/15 already has 15 as its denominator, leave it.

To get a denominator of 15 in 2/3, we multiply top

and bottom of 2/3 by 5 to get 10/15.

So we have 8/15 + 10/5.

This simplifies to 18/15.

Now reduce to get 6/5.

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