5 3/5 + 3/4 + 2 1/2 =
8 17/20
Process: find common denominator = 20
5 12/20 + 15/20 + 2 10/20 = 7 37/20 = 8 17/ 20
To solve this addition problem, you need to convert all the mixed numbers to improper fractions. Then, find a common denominator, if necessary, and add the fractions together.
Let's start with the first mixed number: 5 3/5.
To convert the mixed number to an improper fraction, multiply the whole number (5) by the denominator (5), and add the numerator (3). This gives us (5 * 5 + 3 = 28) as the new numerator. The denominator remains the same, so the improper fraction is 28/5.
Next, let's convert the second mixed number: 2 1/2.
Using the same process, multiply the whole number (2) by the denominator (2), and add the numerator (1). This gives us (2 * 2 + 1 = 5) as the new numerator. The denominator remains the same, so the improper fraction is 5/2.
Now, let's add the fractions.
First, find a common denominator for 5/2 and 3/4. To do this, multiply the denominators together, which gives us 2 * 4 = 8.
Now, we need to convert both fractions to have 8 as the denominator.
To convert 5/2 to have a denominator of 8, multiply the numerator (5) by 4, which gives us (5 * 4 = 20). The fraction becomes 20/8.
To convert 3/4 to have a denominator of 8, multiply the numerator (3) by 2, which gives us (3 * 2 = 6). The fraction becomes 6/8.
Now, we can add the fractions together: 28/5 + 6/8 + 20/8.
Since the two fractions now have the same denominator of 8, we can simply add the numerators: 28 + 6 + 20 = 54.
The sum of the fractions is 54/8. However, this fraction can be simplified by finding the greatest common divisor (GCD) of 54 and 8, which is 2. Dividing both the numerator and denominator by 2, we get 27/4.
So, the final result of the addition is 27/4.