5 3/4 - (-8 1/2) = ?
14 1/4
I got 13 1/4. Could you show me how you got 14 1/4 please.
5 + 8 = 13
3/4 + 1/2 = 1 1/4
13 + 1 1/4 = 14 1/4
To subtract mixed numbers, we can follow these steps:
1. Convert the mixed numbers into improper fractions.
2. Change the subtraction operation to addition by changing the sign of the second mixed number.
3. Subtract the fractions and whole numbers separately.
4. Combine the results of the fractions and whole numbers to obtain the final answer.
Let's apply these steps to solve the given problem: 5 3/4 - (-8 1/2).
Step 1: Convert the mixed numbers to improper fractions.
5 3/4 can be written as (5 * 4 + 3) / 4 = 23/4.
-8 1/2 can be written as (-8 * 2 + 1) / 2 = -15/2.
Step 2: Change the subtraction operation to addition.
We have: 23/4 + 15/2.
Step 3: Subtract the fractions and whole numbers separately.
23/4 + 15/2 can be written as (23 * 2 + 15 * 4) / (4 * 2) = 46/4 + 60/4.
Step 4: Combine the results of the fractions and whole numbers.
46/4 + 60/4 = (46 + 60) / 4 = 106/4.
Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
106/4 = (106/2) / (4/2) = 53/2.
Therefore, 5 3/4 - (-8 1/2) is equal to 53/2 or 26 1/2.