Show me how to add fractions 4/3+1/6 =
To add these fractions, you need to have a common denominator. The least common multiple (LCM) of 3 and 6 is 6.
Now, let's find the equivalent fractions with this common denominator:
4/3 = (4/3) * (2/2) = 8/6
1/6 = (1/6) * (1/1) = 1/6
Now that the fractions have the same denominator, you can add them:
8/6 + 1/6 = 9/6
However, this fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator, which is 3 in this case:
9/6 can be written as (9/3) * (2/2) = 3/2
Therefore, 4/3 + 1/6 simplified is 3/2.
To add fractions, follow these steps:
Step 1: Find a common denominator.
The first step is to find a common denominator for both fractions. In this case, the denominators are 3 and 6. The number 6 is divisible by both 3 and 6, so we can use 6 as the common denominator.
Step 2: Convert the fractions to have the same denominator.
The next step is to convert the fractions to have the same denominator, which is 6. To convert 4/3 to have a denominator of 6, you need to multiply both the numerator and denominator by 2:
(4/3) * (2/2) = 8/6.
To convert 1/6 to have a denominator of 6, you don't need to do anything because it already has a denominator of 6.
Step 3: Add the fractions.
Now that both fractions have the same denominator, you can add them together.
8/6 + 1/6 = 9/6.
Step 4: Simplify the fraction, if necessary.
If possible, simplify the resulting fraction. In this case, 9/6 can be simplified by dividing both the numerator and denominator by 3:
(9/6) รท 3/3 = 3/2.
So, the sum of the fractions 4/3 + 1/6 is equal to 3/2.