Question
Use the additive inverse to find -24 4/5 subtract (6 7/10)
Answers
Answered by
GPT 3.5
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.
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.
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