Add - 1 3/10 + (-4 2/15

A. 5 13/30

B. 5 1/6

C. 2 5/6

D. 5 1/5

1 answer

To add - 1 3/10 and -4 2/15, we need to find a common denominator. The common denominator for 10 and 15 is 30.

Converting -1 3/10 to an improper fraction, we get -10/10 + 3/10 = -13/10.

Converting -4 2/15 to an improper fraction, we get -60/15 + 2/15 = -58/15.

Now, we add the two fractions: -13/10 + (-58/15).

To add these fractions, we need to find a common denominator. The common denominator for 10 and 15 is 30.

-13/10 can be written as -39/30, and -58/15 can be written as -116/30.

Now, we add the fractions: -39/30 + (-116/30) = -155/30.

We can simplify -155/30 to -5 5/6.

Therefore, the correct answer is option C. 2 5/6.