Podcast
Questions and Answers
When adding rational numbers, you can add the denominators and then multiply by the numerators.
When adding rational numbers, you can add the denominators and then multiply by the numerators.
False
To subtract rational numbers, you need to find a common denominator and then subtract the denominators.
To subtract rational numbers, you need to find a common denominator and then subtract the denominators.
False
The formula for adding rational numbers $(a/b) + (c/d)$ is $(a+c)/(b+d)$.
The formula for adding rational numbers $(a/b) + (c/d)$ is $(a+c)/(b+d)$.
False
When adding or subtracting rational numbers, it is essential to have a common denominator.
When adding or subtracting rational numbers, it is essential to have a common denominator.
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Simplifying the answer by dividing both numerator and denominator by their greatest common divisor (GCD) is optional.
Simplifying the answer by dividing both numerator and denominator by their greatest common divisor (GCD) is optional.
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The formula for subtracting rational numbers $(a/b) - (c/d)$ is $((a+c)/(b+d))$.
The formula for subtracting rational numbers $(a/b) - (c/d)$ is $((a+c)/(b+d))$.
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Study Notes
Adding Rational Numbers
- To add rational numbers, follow these steps:
- Find a common denominator (LCD) for the two fractions.
- Convert both fractions to have the LCD.
- Add the numerators (numbers on top) and keep the same denominator.
- Simplify the answer, if possible.
Example:
(a/b) + (c/d) = ((ad + bc) / bd)
Subtracting Rational Numbers
- To subtract rational numbers, follow these steps:
- Find a common denominator (LCD) for the two fractions.
- Convert both fractions to have the LCD.
- Subtract the numerators (numbers on top) and keep the same denominator.
- Simplify the answer, if possible.
Example:
(a/b) - (c/d) = ((ad - bc) / bd)
Key Points to Remember
- When adding or subtracting rational numbers, it is essential to have a common denominator.
- Simplify the answer by dividing both numerator and denominator by their greatest common divisor (GCD).
- Always check if the result can be simplified further.
Adding Rational Numbers
- To add rational numbers, find a common denominator (LCD) for the two fractions.
- Convert both fractions to have the LCD.
- Add the numerators (numbers on top) and keep the same denominator.
- Simplify the answer, if possible.
- The formula for adding rational numbers is
(a/b) + (c/d) = ((ad + bc) / bd).
Subtracting Rational Numbers
- To subtract rational numbers, find a common denominator (LCD) for the two fractions.
- Convert both fractions to have the LCD.
- Subtract the numerators (numbers on top) and keep the same denominator.
- Simplify the answer, if possible.
- The formula for subtracting rational numbers is
(a/b) - (c/d) = ((ad - bc) / bd).
Key Points to Remember
- A common denominator is essential when adding or subtracting rational numbers.
- Simplify the answer by dividing both numerator and denominator by their greatest common divisor (GCD).
- Always check if the result can be simplified further.
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Description
Learn how to add and subtract rational numbers by finding a common denominator, converting fractions, and simplifying the answer.
