There are 3 simple steps to add fractions:
Step 1: Make sure the bottom numbers (the denominators) are the same.
Step 2: Add the top numbers (the numerators) together and put the answer above the denominator.
Step 3: If it is possible, simplify the fraction.
Here are some examples to get you started.
Example 1:
1/4+ 1/4
Step 1: The bottom numbers (the denominators) are already the same.
Step 2: Add the top numbers and put the answer over the same denominator.
1/4 + 1/4 = (1+1)/4 = 2/4
Step 3: Simplify the fraction.
2/4 =1/2
Therefore, we have found that 1/4 + 1/4 = 1/2.
Example 2:
1/3 + 1/6
Step 1: The bottom numbers are not the same, so we must find a common denominator before we are able to add the fractions together.
Finding a common denominator simply means that we must alter your question so both fractions we are adding together have the same denominator. But, be care not to change the value of your fraction when you are doing this step.
We notice that 3 x 2 = 6.
So by multiplying the numerator and denominator both by 2, we can see that 1/3 = (1 x 2)/(3 x 2) = 2/6.
Remember: You must do the same thing to the top and to the bottom of a fraction or you will change its value.
Now we have that: 1/3 + 1/6 = 2/6 + 1/6
Step 2: Add the numerators together and put the answer over the same denominator.
2/6 + 1/6 = (2+1)/6 = 3/6
Step 3: Simplify the fraction.
3/6 = 1/2
Therefore, we have found that 1/3 + 1/6 = 1/2.
Now, you give it a try.
1. 3/4 + 1/4 =
2. 5/4 + 1/2 =
3. 3/5 + 1/10 =
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This was written for you by Mia, one of the tutors with Test Prep Academy.