5 Questions
What is the result of 1/6 + 2/6?
3/6
What is the result of 3/8 - 2/8?
1/8
What is the first step to add 1/4 + 2/6?
Find the least common multiple of the denominators
What is the result of 2/3 + 1/4 after converting to a common denominator?
13/12
What is the rule for adding or subtracting rational numbers?
Ensure the denominators are the same
Study Notes
Operations with Rational Numbers
Addition of Rational Numbers
- To add rational numbers, follow the usual rules for adding fractions:
- Ensure the denominators are the same
- Add the numerators
- Keep the same denominator
- Example:
1/4 + 2/4 = (1 + 2)/4 = 3/4
Subtraction of Rational Numbers
- To subtract rational numbers, follow the usual rules for subtracting fractions:
- Ensure the denominators are the same
- Subtract the numerators
- Keep the same denominator
- Example:
3/6 - 2/6 = (3 - 2)/6 = 1/6
General Rules
- When adding or subtracting rational numbers, it is essential to have the same denominator
- If the denominators are different, find the least common multiple (LCM) and convert both fractions to have the LCM as the denominator before performing the operation
- Simplify the resulting fraction, if possible
Learn how to add and subtract rational numbers, including rules for same and different denominators. Practice with examples and simplify your results.
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