In this video we will add the fractions 1/6 and 2/3. First we need to find a common denominator for both 1/6 and 2/3. Once we have a common denominator, we can easily find the sum of the fractions by adding the numerators while keeping the denominator the same.
Step 1: Find a common denominator.
In order to add two fractions, the fractions must have a common denominator. To find a common denominator, you need to identify the least common multiple (LCM) of the denominators of the fractions.
Note that the lowest common multiple (LCM) is also called the lowest common denominator (LCD). You can find the LCM for 1/6 and 2/3 by listing all the multiples for 1/6 and 2/3. Then you select the lowest number that is the same for both numbers.
Step 2: Convert the fractions to have the same denominator.
Convert 1/6 to a fraction with a denominator of 6 by multiplying both the numerator and the denominator by 1:
1/6 = 1/6
Convert 2/3 to a fraction with a denominator of 6 by multiplying both the numerator and the denominator by 2:
2/3 = 4/6
Step 3: Add the numerators.
Once the fractions have the same denominator, you can add the numerators together:
1/6 + 4/6 = 5/6
Step 4: Simplify the fraction (if necessary).
In this case, 5/6 is already in its simplest form.
That is the process for adding 1/6 + 2/3. The answer is 5/6.
