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

answers:
-5 1/5 A
-5 1/6 B
-2 5/6 C
-5 13/30 D

1 answer

To solve this addition problem, you need to convert the mixed numbers into improper fractions.

-1 3/10 can be written as -10/10 + 3/10 = -13/10
-4 2/15 can be written as -60/15 + 2/15 = -58/15

Now you can add the fractions:
-13/10 + (-58/15) = (-13*15 - 58*10)/(10*15) = (-195 - 580)/(150) = -775/150.

Now, let's simplify this fraction:
-775/150 can be written as -5 125/150.

The simplified mixed number is -5 5/6.

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