Fractions

A fraction represents a part of a whole or a part of a group. It consists of a numerator and a denominator, separated by a horizontal line. The numerator represents the number of parts we have, while the denominator represents the total number of parts that make up a whole.

Types of Fractions

There are different types of fractions:

• Proper Fractions: When the numerator is less than the denominator, e.g., 1/2, 3/4.
• Improper Fractions: When the numerator is greater than or equal to the denominator, e.g., 5/3, 7/4.
• Mixed Numbers: A combination of a whole number and a fraction, e.g., 2 1/3, 3 2/5.
• Equivalent Fractions: Fractions that represent the same part of a whole, e.g., 1/2 and 2/4 are equivalent.

Operations with Fractions

We can perform various operations with fractions:

• Addition and Subtraction: When adding or subtracting fractions, we need to have a common denominator.
• Multiplication: To multiply fractions, we simply multiply the numerators and denominators together.
• Division: To divide fractions, we multiply by the reciprocal of the divisor.

Examples

Here are some examples of fractions:

• 1/2 - One-half of a whole.
• 3/4 - Three-fourths of a whole.
• 2 1/3 - Two and one-third, a mixed number.
• 5/6 + 1/3 = 9/6 - Adding fractions with a common denominator.
• 2/3 * 4/5 = 8/15 - Multiplying fractions.
• 3/4 ÷ 2/5 = 15/8 - Dividing fractions by multiplying by the reciprocal.

[Fractions] Related Worksheets and Study Guides:

• Fractions Greater Than or Less Than 1/2Mathematics • Second Grade
• Story ProblemsMathematics • Second Grade
• FractionsMathematics • First Grade
• Equivalent Fractions to 1/2Mathematics • Third Grade
• Ordering FractionsMathematics • Fifth Grade
• Adding FractionsMathematics • Fifth Grade