How do I work out this problem 8 3/4 + 2 1/2 please help me.
First, the fractions must have a common denominator.
2 1/2 = 2 2/4
8 3/4 + 2 2/4 = 10 5/4 = 11 1/4
Thank you
You're welcome, Tony.
To work out the problem 8 3/4 + 2 1/2, follow these steps:
Step 1: Convert the mixed numbers into improper fractions.
8 3/4 can be converted as follows:
Multiply the whole number (8) by the denominator of the fraction (4), then add the numerator (3).
This gives us (8 * 4) + 3 = 32 + 3 = 35.
So, 8 3/4 can be written as an improper fraction: 35/4.
2 1/2 can be converted similarly:
Multiply the whole number (2) by the denominator of the fraction (2), then add the numerator (1).
This gives us (2 * 2) + 1 = 4 + 1 = 5.
So, 2 1/2 can be written as an improper fraction: 5/2.
Step 2: Find a common denominator.
The common denominator for 4 and 2 is 4.
Step 3: Add the fractions by adding their numerators and keeping the common denominator.
Add 35/4 and 5/2.
To add fractions, you need to have a common denominator, so convert 5/2 to have a denominator of 4.
Multiply the numerator (5) and denominator (4) by 2 to get 10/4.
Now you can add the fractions: 35/4 + 10/4 = 45/4.
Step 4: Simplify the fraction (if needed).
If you need to simplify the fraction, check if the numerator and the denominator have a common factor.
In this case, the fraction 45/4 is already in its simplest form, as 45 and 4 do not have a common factor other than 1.
So, the answer to the problem 8 3/4 + 2 1/2 is 45/4.