Use the additive inverse to find -24 4/5 -6 7/10
To find the additive inverse of a number, we need to 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.
Therefore, -24 4/5 - 6 7/10 can be rewritten as 24 4/5 + 6 7/10.
To find the sum of -24 4/5 and -6 7/10 using the additive inverse, you need to change the signs of both fractions and then add them together.
The additive inverse of -24 4/5 is 24 4/5, and the additive inverse of -6 7/10 is 6 7/10.
Now, add the two fractions together:
24 4/5 + 6 7/10
First, add the whole numbers together: 24 + 6 = 30.
Next, add the fractions together: 4/5 + 7/10.
Since the denominators (5 and 10) are not the same, you need to find a common denominator. The least common multiple of 5 and 10 is 10.
To convert 4/5 to have a denominator of 10, multiply both the numerator and denominator by 2:
4/5 * 2/2 = 8/10.
Now, you can add the fractions together:
8/10 + 7/10 = 15/10.
However, 15/10 can be simplified by dividing both the numerator and denominator by 5:
15/10 ÷ 5/5 = 3/2.
Therefore, the sum of -24 4/5 and -6 7/10 using the additive inverse is:
-24 4/5 - 6 7/10 = -(30 3/2) = -30 3/2.