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Questions and Answers
What is the first step to add two fractions with different denominators?
What is the result of subtracting 1/4 from 1/2?
What is the result of dividing 2/3 by 3/4?
What is the result of adding 1/6 and 1/8?
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What is the rule to multiply two fractions?
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Study Notes
Understanding Fractions
- A fraction consists of a numerator (top number) and a denominator (bottom number) representing a part of a whole.
- To solve fractions, find a common denominator for addition or subtraction.
Adding Fractions
- If denominators are the same, add the numerators while keeping the denominator unchanged.
- If denominators are different, calculate the least common denominator (LCD) and convert each fraction to an equivalent fraction with the LCD.
- After converting, add the numerators and simplify if necessary.
Subtracting Fractions
- When denominators are the same, subtract the numerator of the second fraction from the first while keeping the denominator unchanged.
- For different denominators, find the LCD, convert each fraction, and then subtract the numerators, simplifying if required.
Multiplying Fractions
- To multiply fractions, multiply the numerators together and the denominators together.
- The result is a new fraction that can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD).
Dividing Fractions
- To divide fractions, multiply by the reciprocal of the second fraction (flip it).
- This means changing the division operation into multiplication by the inverted second fraction, then follow the multiplication steps.
Special Considerations
- Always simplify fractions by reducing them to their lowest terms whenever possible.
- Understanding mixed numbers (a whole number combined with a fraction) can also be useful for addition and subtraction. Convert mixed numbers to improper fractions before performing operations.
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Description
Learn how to perform basic operations with fractions, including addition, subtraction, and division with different denominators. Master the rules and techniques for solving fraction questions.
