Use the additive inverse to find −24 4/5 − 6 7/10.
−31 1/10
negative 31 Start Fraction 1 over 10 End Fraction
−18 1/10
negative 18 Start Fraction 1 over 10 End Fraction
−31 1/2
negative 31 Start Fraction 1 over 2 End Fraction
31 1/2
To find the additive inverse of a number, we simply change the sign of the number. In this case, the additive inverse of -24 4/5 is 24 4/5.
Now, we can subtract 6 7/10 from 24 4/5:
24 4/5 - 6 7/10 = 24 4/5 + (-6 7/10)
To simplify, we need to find a common denominator for the fractions:
The denominators are 5 and 10, and the least common multiple of 5 and 10 is 10.
So, we need to convert both fractions to fifths:
-6 7/10 = -6 (7/10 * 2/2) = -6 (14/20) = -6 (7/10 * 2/2) = -6 (14/20) = -6 (1.4)
Now, we can subtract:
24 4/5 + (-6 7/10) = 24 (4/5 + 1.4) = 24 (4/5 + 7/10) = 24 (8/10 + 7/10) = 24 (15/10)
Simplifying the mixed number, we have:
24 (15/10) = 24 + 1 5/10 = 24 + 1/2 = 24 1/2
Therefore, -24 4/5 - 6 7/10 = -24 4/5 + (-6 7/10) = -24 1/2.
To find the additive inverse of a number, we simply change the sign of the number.
Given −24 4/5, we change the sign to positive to get 24 4/5.
Given −6 7/10, we change the sign to positive to get 6 7/10.
Now, we can add these two numbers together:
24 4/5 + 6 7/10 = 30 11/10
But since 11/10 can be simplified to 1 1/10, we have:
30 + 1 1/10 = 31 1/10
Therefore, the sum of −24 4/5 and −6 7/10 is −31 1/10.