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Questions and Answers
What is the first step in adding fractions with different denominators?
What is the first step in adding fractions with different denominators?
- Subtract the numerators and keep the same denominator
- Find the least common multiple of the denominators (correct)
- Multiply the denominators and keep the same numerator
- Add the numerators and keep the same denominator
What is the result of subtracting 2/8 from 3/8?
What is the result of subtracting 2/8 from 3/8?
- 1/16
- 5/8
- 3/16
- 1/8 (correct)
What is the result of multiplying 1/2 and 3/4?
What is the result of multiplying 1/2 and 3/4?
- 1/4
- 1/8
- 1/2
- 3/8 (correct)
What is the first step in dividing fractions?
What is the first step in dividing fractions?
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What is the result of dividing 1/2 by 3/4?
What is the result of dividing 1/2 by 3/4?
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Why do we need to find the least common multiple when adding fractions with different denominators?
Why do we need to find the least common multiple when adding fractions with different denominators?
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Study Notes
Adding Fractions
- To add fractions, they must have the same denominator (bottom number)
- If denominators are different, find the least common multiple (LCM) and convert both fractions to have the LCM as the denominator
- Add the numerators (top numbers) and keep the same denominator
- Simplify the fraction, if possible
Example:
1/4 + 1/6 = ?
LCM of 4 and 6 is 12
Convert both fractions: 3/12 + 2/12 = 5/12
Subtracting Fractions
- To subtract fractions, they must have the same denominator (bottom number)
- If denominators are different, find the least common multiple (LCM) and convert both fractions to have the LCM as the denominator
- Subtract the numerators (top numbers) and keep the same denominator
- Simplify the fraction, if possible
Example:
3/8 - 2/8 = ?
3 - 2 = 1
1/8
Multiplying Fractions
- Multiply the numerators (top numbers) and multiply the denominators (bottom numbers)
- Simplify the fraction, if possible
Example:
1/2 × 3/4 = ?
(1 × 3) / (2 × 4) = 3/8
Dividing Fractions
- To divide fractions, invert the second fraction (i.e., flip the numerator and denominator) and then multiply
- Multiply the numerators (top numbers) and multiply the denominators (bottom numbers)
- Simplify the fraction, if possible
Example:
1/2 ÷ 3/4 = ?
1/2 × 4/3 = ?
(1 × 4) / (2 × 3) = 4/6 = 2/3
Adding Fractions
- To add fractions, they must have the same denominator
- If denominators are different, find the least common multiple (LCM) and convert both fractions to have the LCM as the denominator
- Add the numerators (top numbers) and keep the same denominator
- Simplify the fraction, if possible
Subtracting Fractions
- To subtract fractions, they must have the same denominator
- If denominators are different, find the least common multiple (LCM) and convert both fractions to have the LCM as the denominator
- Subtract the numerators (top numbers) and keep the same denominator
- Simplify the fraction, if possible
Multiplying Fractions
- Multiply the numerators (top numbers) and multiply the denominators (bottom numbers)
- Simplify the fraction, if possible
Dividing Fractions
- To divide fractions, invert the second fraction (i.e., flip the numerator and denominator) and then multiply
- Multiply the numerators (top numbers) and multiply the denominators (bottom numbers)
- Simplify the fraction, if possible
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Description
Learn how to add and subtract fractions by finding the least common multiple and converting fractions to have the same denominator.
