Use the additive inverse to find -12 3/4 minus --8 5/6 right answers in mixed number
To find the difference between -12 3/4 and -(-8 5/6), we can use the concept of additive inverse.
Step 1: Convert both mixed numbers to improper fractions.
-12 3/4 can be written as -51/4.
-(-8 5/6) can be written as -(-53/6).
Step 2: Simplify the expression by changing the subtraction to addition and changing the sign of the second fraction to its additive inverse.
-51/4 + 53/6
Step 3: Find a common denominator for both fractions.
The common denominator for 4 and 6 is 12.
Step 4: Rewrite the fractions with the common denominator.
(-51/4) * (3/3) + (53/6) * (2/2)
= (-153/12) + (106/12)
Step 5: Add the fractions.
(-153/12) + (106/12) = (-47/12)
Step 6: Simplify the resulting fraction, if possible.
Since -47 and 12 do not have common factors other than 1, the fraction -47/12 cannot be simplified further.
Therefore, the right answer is -47/12.
To find the difference between -12 3/4 and --8 5/6, we can rewrite the subtraction problem using the additive inverse.
The additive inverse of a number is the number that, when added to the original number, results in zero. For example, the additive inverse of 5 is -5, since 5 + (-5) = 0.
In this case, we need to find the additive inverse of --8 5/6. To do this, we can change the sign of the whole number and fraction:
--8 5/6 becomes 8 5/6.
Now, we can rewrite the subtraction problem as the addition problem -12 3/4 + 8 5/6.
To add mixed numbers, we need to find a common denominator. In this case, the least common multiple of 4 and 6 is 12.
Let's convert both mixed numbers to fractions with a denominator of 12:
-12 3/4 = -51/4 (multiply 4 by 3 and add -12)
8 5/6 = 53/6 (multiply 6 by 8 and add 5)
Now, we can add the fractions:
-51/4 + 53/6
To add fractions, we need a common denominator. In this case, the common denominator is 12.
Let's convert both fractions to have a denominator of 12:
-51/4 = -153/12 (multiply 4 by 3 and multiply -51 by 3)
53/6 = 106/12 (multiply 6 by 2 and multiply 53 by 2)
Now, we can add the fractions:
-153/12 + 106/12 = -47/12
So, -12 3/4 minus --8 5/6 is equal to -47/12.
To subtract mixed numbers, you can follow these steps:
1. Convert the mixed numbers to improper fractions.
2. Find the additive inverse of the second fraction (the one being subtracted).
3. Add the first fraction to the additive inverse of the second fraction.
4. Simplify the resulting fraction, if necessary.
Let's apply these steps to the given problem: -12 3/4 minus -(-8 5/6).
Step 1: Convert the mixed numbers to improper fractions:
-12 3/4 becomes -(4 * 12 + 3)/4 = -51/4
-(-8 5/6) becomes -(-6 * 8 + 5)/6 = -53/6
Step 2: Find the additive inverse of the second fraction.
The additive inverse of a fraction is obtained by changing its sign. In this case, the additive inverse of -53/6 is 53/6.
Step 3: Add the first fraction to the additive inverse of the second fraction.
To add fractions, you need a common denominator. The common denominator here is 24 (the least common multiple of 4 and 6).
-51/4 + 53/6 can be rewritten as (-51/4)*(6/6) + (53/6)*(4/4) = -306/24 + 212/24 = (-306 + 212)/24 = -94/24
Step 4: Simplify the resulting fraction if necessary.
-94/24 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2.
-94/24 is equal to -47/12.
Therefore, -12 3/4 minus -(-8 5/6) equals -47/12.