4 3/4 + 3 1/2
ADD AND WRITE IN SIMPLEST FORM
Find a common denominator
4 3/4 + 3 1/2 = 19/4 + 14/4 = 33/4 = 8 1/4
or
4 3/4 + 3 1/2 = (4+3) + (1/2 + 3/4) = 7 + 1 1/4 = 8 1/4
To add 4 3/4 and 3 1/2, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
4 3/4 can be written as (4 * 4 + 3)/4 = 19/4.
3 1/2 can be written as (3 * 2 + 1)/2 = 7/2.
Step 2: Find the common denominator.
The denominators in this case are 4 and 2. To find the common denominator, we multiply them together, giving us 8.
Step 3: Adjust the fractions to have the same denominator.
Since the denominators are already 4 and 2, no adjustment is necessary.
Step 4: Add the fractions.
Add the numerators of the fractions: 19 + 7 = 26.
Step 5: Write the sum as a fraction with the common denominator.
The sum of the numerators is 26. Therefore, the result is 26/8.
Step 6: Simplify the fraction (if possible).
To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator, and divide both by it. The GCD of 26 and 8 is 2. Therefore, dividing both the numerator and denominator by 2 yields 13/4.
So, the sum of 4 3/4 and 3 1/2 is 13/4 when written in simplest form.