Add −1 3/10 +(−4 2/15).(1 point)

Question

Responses

A−2 5/6

B −5 1/6

C −5 13/30

D −5 1/5

Answer 1

To add the given fractions, we first need to convert the mixed numbers to improper fractions.

-1 3/10 as an improper fraction is -10/10 + 3/10 = -13/10
-4 2/15 as an improper fraction is -60/15 + 2/15 = -58/15

Now, let's add the fractions:
-13/10 + (-58/15)

To add fractions, we need a common denominator. The least common multiple of 10 and 15 is 30, so we'll rewrite the fractions with the common denominator of 30:
(-13/10)(3/3) + (-58/15)(2/2)
= (-39/30) + (-116/30)

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

The final answer is -5 5/30, which simplifies to -5 1/6.

Therefore, the correct answer is B) -5 1/6.