Use the additive inverse to find -24 4/5 subtract (6 7/10)
To find the difference between -24 4/5 and (6 7/10), we can first find the additive inverse of (6 7/10) and then add it to -24 4/5.
The additive inverse of (6 7/10) is -(6 7/10), which is the same as -6 7/10.
Now let's add -6 7/10 to -24 4/5:
-24 4/5 + (-6 7/10)
To add these fractions, we need a common denominator. The least common multiple of 5 and 10 is 10.
Converting -24 4/5 to a fraction with a denominator of 10, we get:
-24 4/5 = -24(5/5) + 4/5 = -120/5 + 4/5 = -116/5
Now we can add:
-116/5 + (-6 7/10)
To add these fractions, we need a common denominator. The least common multiple of 5 and 10 is 10.
Converting -116/5 to a fraction with a denominator of 10, we get:
-116/5 = -116(2/2) /5 = -232/10
Now we can add:
-232/10 + (-6 7/10)
Combining the whole numbers, we have:
-232/10 - (6 7/10) = -232/10 - (6 + 7/10)
Simplifying:
-232/10 - (6 + 7/10) = -232/10 - 60/10 - 7/10
Combine the fractions:
-232/10 - 60/10 - 7/10 = -299/10
Therefore, -24 4/5 subtract (6 7/10) is equal to -299/10 or -29 9/10.
To find the difference between -24 4/5 and (6 7/10) using the additive inverse, we need to change the sign of the second number and then add it to the first number.
First, let's convert the mixed numbers to improper fractions:
-24 4/5 = -((5 * 24) + 4) / 5 = -((120 + 4) / 5) = -(124 / 5)
6 7/10 = (10 * 6 + 7) / 10 = (60 + 7) / 10 = 67 / 10
Now let's change the sign of 67 / 10 to its additive inverse:
-(67 / 10) = -67 / 10
Now we can add -67 / 10 to -(124 / 5):
-(124 / 5) + (-67 / 10)
To add fractions, we need a common denominator. The least common multiple (LCM) of 5 and 10 is 10, so let's convert both fractions to have a denominator of 10:
-(124 / 5) = -((10 * 124) / (10 * 5)) = -(1240 / 50) = -248 / 10
-67 / 10
Now, we can add the fractions by combining the numerators:
-248 / 10 + (-67 / 10) = (-248 - 67) / 10 = -315 / 10
Simplifying further, we get:
-315 / 10 = -(31 * 5) / (2 * 5) = -31 / 2
Therefore, -24 4/5 subtract (6 7/10) using the additive inverse is -31/2 or -15 1/2.