Podcast
Questions and Answers
If you want to add the fractions 1/4 and 1/6, what is the LCM of the denominators?
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?
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?
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?
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?
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?
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
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Adding fractions with the same denominator:
- 1/4 + 2/4 = 3/4
-
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.
