Use the additive inverse to find −24 4/5 − 6 7/10.(1 point)
wrong
Apologies for the mistake in my previous response. Let's correctly calculate -24 4/5 - 6 7/10 using the additive inverse.
First, let's convert -24 4/5 into an improper fraction:
-24 4/5 = (-24 * 5 + 4)/5 = (-120 + 4)/5 = -116/5
Next, let's convert -6 7/10 into an improper fraction:
-6 7/10 = (-6 * 10 + 7)/10 = (-60 + 7)/10 = -53/10
Now, let's apply the additive inverse by changing the sign of the second fraction and add the fractions together:
-116/5 + (-53/10) = -232/10 + (-53/10) = (-232 - 53)/10 = -285/10
Finally, let's simplify the result if needed:
-285/10 = -28 5/10 = -28 1/2
Therefore, -24 4/5 - 6 7/10 equals -28 1/2.
To find the sum of the numbers -24 4/5 and -6 7/10 using the additive inverse, we need to change the signs of both numbers and then add them.
Firstly, change the sign of -24 4/5. This becomes 24 4/5.
Secondly, change the sign of -6 7/10. This becomes 6 7/10.
Now, we can add the two numbers: 24 4/5 + 6 7/10.
To add these mixed numbers, we first need to convert them to improper fractions.
24 4/5 can be rewritten as (24*5 + 4)/5 = (120+4)/5 = 124/5.
6 7/10 can be rewritten as (6*10 + 7)/10 = (60+7)/10 = 67/10.
Now, we can add the two fractions: (124/5) + (67/10).
To add fractions with different denominators, we need to find a common denominator.
The least common multiple (LCM) of 5 and 10 is 10.
Now, we need to rewrite the fractions with the common denominator of 10:
(124/5) = (124*2/5*2) = 248/10.
(67/10) remains as it is.
Adding the fractions: (248/10) + (67/10) = (248 + 67)/10 = 315/10.
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 5.
(315/10) / 5 = 63/2.
Therefore, the sum of -24 4/5 and -6 7/10 using the additive inverse is -63/2 or -31 1/2.
To find the sum of these two numbers, we can use the additive inverse of each number separately and then add the results together.
The additive inverse of -24 4/5 is 24 4/5 because the sum of a number and its additive inverse is always zero.
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 11/10
So, -24 4/5 - 6 7/10 is equal to 30 11/10.