Questions and Answers
If you want to add the fractions 1/4 and 1/6, what is the LCM of the denominators?
What is the main requirement before adding two fractions?
When adding the fractions 2/3 and 3/4, what is the resulting numerator after converting to the LCM?
What happens if the fractions being added have the same denominator?
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After adding the fractions 1/4 and 2/4, what is the simplified result?
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What is the final step after adding fractions that can be simplified?
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Study Notes
Adding Fractions
Rule for Adding Fractions
To add fractions, the denominators (the numbers of parts) must be the same.
Steps to Add Fractions
- Check if the denominators are the same: If they are not, find the least common multiple (LCM) of the two denominators and convert both fractions to have that LCM as the denominator.
- Add the numerators (the numbers of parts): Add the numerators of the two fractions together.
- Keep the denominator the same: The denominator of the answer is the same as the denominator of the fractions being added.
- Simplify the answer (if possible): If the answer can be simplified, do so.
Examples
-
Adding fractions with the same denominator:
- 1/4 + 2/4 = 3/4
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Adding fractions with different denominators:
- 1/4 + 1/6 = ?
- Find the LCM of 4 and 6, which is 12.
- Convert both fractions to have a denominator of 12: 3/12 + 2/12 = 5/12
- 2/3 + 3/4 = ?
- Find the LCM of 3 and 4, which is 12.
- Convert both fractions to have a denominator of 12: 8/12 + 9/12 = 17/12
- 1/4 + 1/6 = ?
Adding Fractions
- To add fractions, the denominators must be the same.
- If denominators are not the same, find the least common multiple (LCM) of the two denominators and convert both fractions to have that LCM as the denominator.
Steps to Add Fractions
- Check if the denominators are the same, if not, find the LCM and convert the fractions.
- Add the numerators of the two fractions together.
- Keep the denominator the same as the fractions being added.
- Simplify the answer if possible.
Examples
Adding Fractions with the Same Denominator
- 1/4 + 2/4 = 3/4
Adding Fractions with Different Denominators
- 1/4 + 1/6 = 3/12 + 2/12 = 5/12
- 2/3 + 3/4 = 8/12 + 9/12 = 17/12
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Description
Test your understanding of adding fractions, including finding the least common multiple and converting fractions to have the same denominator.
