Add - 1 3/15 + (-4 2/15)

1 answer

To add - 1 3/15 and -4 2/15, we can first convert the mixed numbers into improper fractions.

-1 3/15 can be written as -1 + 3/15 = -1 + 1/5 = -5/5 + 1/5 = -6/5.
-4 2/15 can be written as -4 + 2/15.

Now we can add the fractions:

-6/5 + (-4 + 2/15)

To add these fractions, we need to find a common denominator. The common denominator in this case is 5 * 15 = 75.

Multiplying the numerator and denominator of -6/5 by 15, we get -90/75.

Multiplying the numerator and denominator of -4 + 2/15 by 5, we get -20/75 + 2/15 = -20/75 + 10/75 = -10/75.

Now we can add the fractions:

-90/75 + (-10/75) = -100/75 = -4/3.

Therefore, -1 3/15 + (-4 2/15) = -4/3.