Use the additive inverse to find −24 4/5 − 6 7/10.
A. −31 1/10
negative 31 Start Fraction 1 over 10 End Fraction
B. −18 1/10
negative 18 Start Fraction 1 over 10 End Fraction
C. −31 1/2
negative 31 Start Fraction 1 over 2 End Fraction
D. 31 1/2
To find the additive inverse of a number, we simply change the sign of the number.
The additive inverse of -24 4/5 is 24 4/5.
The additive inverse of -6 7/10 is 6 7/10.
Now, we can add the two numbers together:
24 4/5 + 6 7/10 = 30 9/10
However, since we changed the sign of both numbers, the final answer will also be negative.
Therefore, the correct answer is:
A. -31 1/10
To find the sum of −24 4/5 and −6 7/10 using the additive inverse, we first convert both mixed numbers to fractions.
-24 4/5 can be rewritten as -24 + 4/5 = -24 * 5/5 + 4/5 = -120/5 + 4/5 = -116/5
-6 7/10 can be rewritten as -6 + 7/10 = -6 * 10/10 + 7/10 = -60/10 + 7/10 = -53/10
Now, we can find the sum of the two fractions:
-116/5 + (-53/10)
To add these fractions, we need to have a common denominator. In this case, the common denominator is 10:
-116/5 * 2/2 = -232/10
-53/10
Now, we can add the fractions:
-232/10 + (-53/10) = -285/10
Simplifying the fraction:
-285/10 = -28 5/10 = -28 1/2
Therefore, the sum of −24 4/5 and −6 7/10 using the additive inverse is -28 1/2.
So, the correct answer is:
D. -28 1/2