Use the additive inverse to find -24 4/5- 6 7/10
To find the sum of -24 4/5 and -6 7/10, we need to add the additive inverse of -6 7/10 to -24 4/5.
The additive inverse of a number is the number that, when added to the original number, gives an answer of zero.
So, the additive inverse of -6 7/10 is 6 7/10.
Adding -24 4/5 and 6 7/10:
-24 4/5 + 6 7/10
First, let's make the fractions have a common denominator of 10 to simplify the addition:
-24 4/5 + 6 7/10 =
-24 8/10 + 6 7/10 =
Now, let's add the whole numbers separately and the fractions separately:
-24 + 6 = -18
8/10 + 7/10 = 15/10
Now, we can simplify the fraction by reducing it:
15/10 = 1 and 5/10 = 1 and 1/2
So, -24 4/5 + 6 7/10 = -18 1/2
To find the difference between -24 4/5 and -6 7/10 using the additive inverse, follow these steps:
Step 1: Take the additive inverse of the second number (-6 7/10).
The additive inverse of a number is simply the number with its sign changed. In this case, the additive inverse of -6 7/10 is 6 7/10.
Step 2: Add the first number (-24 4/5) to the additive inverse of the second number.
-24 4/5 + 6 7/10
Since we are adding a negative number (-6 7/10), we can rewrite the addition as a subtraction:
-24 4/5 - 6 7/10
Step 3: Perform the subtraction.
To subtract mixed numbers, convert them to improper fractions and then subtract.
-24 4/5 is equivalent to -24 5/5 + 4/5 = -24 5/5 + 4/5 = -120/5 + 4/5 = -116/5
Using a similar process, 6 7/10 can be converted to 67/10.
So, performing the subtraction:
-116/5 - 67/10
To subtract fractions, we need a common denominator, which in this case is 10.
Multiply the numerator and denominator of -116/5 by 2 to get the same denominator:
(-116 * 2)/ (5 * 2) = -232/10
Now we can subtract:
-232/10 - 67/10 = (-232 - 67)/10 = -299/10
Step 4: Simplify the fraction, if possible.
-299/10 cannot be simplified any further.
Therefore, the difference between -24 4/5 and -6 7/10 is -299/10.