Use the additive inverse to find −24 4/5−6 7/10.(1 point)
Responses
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
negative 31 Start Fraction 1 over 10 End Fraction
−18 1/10
To find the additive inverse of a number or expression, you simply change the sign of the number or expression.
In this case, the expression is −24 4/5−6 7/10.
To find the additive inverse, we change the sign of each term in the expression:
− (-24 4/5) - (-6 7/10)
Simplifying each term individually, we get:
24 4/5 + 6 7/10
Now, we can add the two fractions:
(24 + 6) + (4/5 + 7/10)
30 + (8/10 + 7/10)
30 + 15/10
Simplifying the fraction, we get:
30 + 1 5/10
Now, we can add the whole numbers and the fractions separately:
30 + 1 5/10 = 31 + 1/2
So, the answer is 31 1/2.
To find the sum of -24 4/5 and -6 7/10 using the additive inverse, we can change the sign of both numbers and then add them together.
Converting -24 4/5 to an improper fraction:
-24 4/5 = -24 + 4/5 = -24(5/5) + 4/5 = -120/5 + 4/5 = -116/5
Converting -6 7/10 to an improper fraction:
-6 7/10 = -6 + 7/10 = -6(10/10) + 7/10 = -60/10 + 7/10 = -53/10
Now, we can add the two improper fractions together:
-116/5 + -53/10 = (-116 * 2)/(5 * 2) + (-53 * 1)/(10 * 1) = -232/10 + -53/10 = (-232 - 53)/10 = -285/10
Finally, we can simplify 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.