5 Questions
What is a fraction?
A way to express a part of a whole as a ratio of two integers
What is the purpose of finding a common denominator when adding or subtracting fractions?
To make the denominators the same
What is the result of multiplying two fractions?
A fraction with the product of the numerators and denominators
What is an improper fraction?
A fraction with a numerator greater than the denominator
What is the first step in dividing fractions?
Invert the second fraction
Study Notes
Definition and Basics
- A fraction is a way to express a part of a whole as a ratio of two integers: numerator (top number) and denominator (bottom number)
- Examples: 1/2, 3/4, 2/3
Key Concepts
-
Equivalent Fractions: fractions that have the same value but different numbers
- Example: 1/2 = 2/4 = 3/6
-
Simplifying Fractions: reducing a fraction to its simplest form by dividing both numerator and denominator by their greatest common divisor (GCD)
- Example: 6/8 = 3/4 (simplified)
-
Improper Fractions: fractions where the numerator is greater than the denominator
- Example: 3/2, 5/3
-
Mixed Numbers: a combination of a whole number and a proper fraction
- Example: 2 1/2, 3 3/4
Operations with Fractions
-
Adding and Subtracting Fractions:
- Find a common denominator (LCD) for the two fractions
- Add or subtract the numerators and keep the common denominator
-
Multiplying Fractions:
- Multiply the numerators and denominators separately
- Simplify the resulting fraction
-
Dividing Fractions:
- Invert the second fraction (i.e., flip the numerator and denominator)
- Multiply the first fraction by the inverted second fraction
- Simplify the resulting fraction
Test your understanding of fractions, including equivalent fractions, simplifying fractions, improper fractions, and mixed numbers. Learn how to add, subtract, multiply, and divide fractions with confidence.
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