How do you subtract and add mixed numbers?
Give an example of a problem so that I can show you.
To add or subtract mixed numbers, you need to follow a few steps:
1. Convert the mixed numbers to improper fractions.
2. Add or subtract the fractions.
3. If the result is an improper fraction, convert it back to a mixed number, if necessary.
Let's take an example problem to illustrate the process:
Problem: Add 2 3/4 and 1 2/5.
Step 1: Convert both mixed numbers to improper fractions.
2 3/4 = (2 * 4 + 3)/4 = 11/4
1 2/5 = (1 * 5 + 2)/5 = 7/5
Step 2: Add the fractions.
11/4 + 7/5
To add these fractions, you need a common denominator, which is the least common multiple (LCM) of 4 and 5, which is 20.
Multiply the numerator and denominator of each fraction by the necessary factor to obtain the common denominator:
(11/4) x (5/5) = 55/20
(7/5) x (4/4) = 28/20
Now you can add the fractions:
55/20 + 28/20 = 83/20
Step 3: Convert the result back to a mixed number, if necessary.
In this case, the fraction 83/20 is an improper fraction. To convert it to a mixed number, divide the numerator (83) by the denominator (20) and express the remainder as a fraction:
83 ÷ 20 = 4 with a remainder of 3
The remainder divided by the denominator becomes the fraction: 3/20
So, the final result is the mixed number: 4 3/20
Therefore, 2 3/4 + 1 2/5 = 4 3/20