-24 4/5 - (6 7/10)
To subtract the given numbers, we need to first convert them into improper fractions:
-24 4/5 = -24 + 4/5 = -120/5 + 4/5 = -116/5
6 7/10 = 6 + 7/10 = 60/10 + 7/10 = 67/10
Now, subtract the fractions:
-116/5 - 67/10
To combine these fractions, we need to find a common denominator, which in this case is 10:
(-116/5) x (2/2) = (-232/10)
67/10
Now, subtract the fractions:
(-232/10) - (67/10) = -299/10
Therefore, -24 4/5 - (6 7/10) = -299/10.
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Apologies for the error in my previous response. Let's correct it.
To subtract the given numbers, we need to first convert them into mixed fractions:
-24 4/5 can be written as -24 + 4/5 = -24 20/5 + 4/5 = -24 24/5.
6 7/10 can be written as 6 + 7/10 = 6 70/10 + 7/10 = 6 77/10.
Now, subtract the mixed fractions:
-24 24/5 - (6 77/10)
To combine these fractions, we need to find a common denominator, which in this case is 10:
-24 24/5 can be converted to -24(10/10) + 24/5 = -240/10 + 24/5 = -264/10 + 24/5 = -264/10 - 0/10 + 24/5 = -264/10 + 24/5 = -264/10 + 48/10 = -216/10.
6 77/10 can be written as 6(10/10) + 77/10 = 60/10 + 77/10 = 137/10.
Now, subtract the fractions:
-216/10 - 137/10 = (-216 - 137)/10 = -353/10.
Therefore, -24 4/5 - (6 7/10) = -353/10.
To subtract -24 4/5 from (6 7/10), follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
- Convert -24 4/5 to an improper fraction:
- Multiply the whole number (-24) by the denominator (5): -24 * 5 = -120.
- Add the product to the numerator (4): -120 + 4 = -116.
- Write the result as a negative fraction: -116/5.
- Convert 6 7/10 to an improper fraction:
- Multiply the whole number (6) by the denominator (10): 6 * 10 = 60.
- Add the product to the numerator (7): 60 + 7 = 67.
- Write the result as a fraction: 67/10.
Step 2: Subtract the fractions.
- To subtract fractions, the denominators must be the same.
- Determine the lowest common denominator (LCD) for 5 and 10, which is 10.
- Convert both fractions to have a denominator of 10:
- Multiply -116/5 by 2/2 (since 5 * 2 = 10): (-116 * 2)/(5 * 2) = -232/10.
- The fraction -116/5 is equivalent to -232/10.
- 67/10 remains the same.
Step 3: Subtract the fractions.
- Subtract the fractions: -232/10 - 67/10:
- Combine the numerators and keep the common denominator: (-232 - 67)/10 = -299/10.
- The result is -299/10.
Step 4: Simplify the result (if required).
- The fraction -299/10 cannot be simplified further.
Therefore, -24 4/5 - (6 7/10) = -299/10.