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

Question

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

Answer 1

To add -1 3/10 and -4 2/15, first convert the mixed numbers to improper fractions.

-1 3/10 = -10/10 - 3/10 = -13/10
-4 2/15 = -60/15 - 2/15 = -62/15

Now, adding -13/10 and -62/15:

-13/10 + (-62/15)
= -39/30 + (-124/30)
= (-39 - 124)/30
= -163/30

Convert -163/30 back to a mixed number:

-163 ÷ 30 = -5 with a remainder of 13

Therefore, the sum is -5 13/30, which corresponds to answer choice B.