Use the additive inverse to find −24 4/5−6 7/10.(1 point)

Question

Responses

−18 1/10
negative 18 Start Fraction 1 over 10 End Fraction

31 1/2
31 Start Fraction 1 over 2 End Fraction

−31 1/2
negative 31 Start Fraction 1 over 2 End Fraction

−31 1/10

Answer 1

To find the result, we need to subtract -6 7/10 from -24 4/5.

We can rewrite -6 7/10 as a mixed number: -6 7/10 = -6 + 7/10.

Now, let's find the additive inverse of -6 + 7/10. The additive inverse of a number is the number that when added to it gives zero. In this case, the additive inverse is the number that when added to -6 + 7/10 gives zero.

Therefore, the additive inverse of -6 + 7/10 is 6 - 7/10.

Now, we can subtract -6 + 7/10 from -24 4/5:
-24 4/5 - (-6 + 7/10)
= -24 4/5 - 6 + 7/10

Now, we can subtract the whole numbers and the fractions separately:
= (-24 - 6) + (4/5 - 7/10)
= -30 + (8/10 - 7/10)
= -30 + 1/10

Finally, the result is -30 1/10. So, the correct answer is −31 1/10.