Fractions

A fraction represents a part of a whole. It consists of two numbers, one above the other, separated by a horizontal line. The number above the line is called the numerator, and the number below the line is called the denominator.

Types of Fractions

There are different types of fractions:

Proper Fraction: When the numerator is less than the denominator (e.g., 1/2).
Improper Fraction: When the numerator is greater than or equal to the denominator (e.g., 5/3).
Mixed Number: A whole number combined with a fraction (e.g., 2 1/4).

Equivalent Fractions

Equivalent fractions are different fractions that represent the same part of a whole. They have different numerators and denominators, but the same overall value (e.g., 1/2 is equivalent to 2/4).

Adding and Subtracting Fractions

When adding or subtracting fractions, the denominators must be the same. If they are not the same, the fractions need to be converted to equivalent fractions with a common denominator before performing the operation.

Multiplying and Dividing Fractions

When multiplying fractions, simply multiply the numerators together and the denominators together. When dividing fractions, multiply the first fraction by the reciprocal of the second fraction (i.e., flip the second fraction and then multiply).

Using Fractions in Real Life

Fractions are used in many real-life situations, such as cooking (measuring ingredients), shopping (calculating discounts), and sports (scoring and statistics).

◂Math Worksheets and Study Guides Kindergarten. Comparing, and ordering

The resources above cover the following skills:

Counting and Cardinality

Know number names and the count sequence.

Count to 100 by ones and by tens. [K-CC1]

Count forward beginning from a given number within the known sequence (instead of having to begin at 1). [K-CC2]

Count to tell the number of objects.

Understand the relationship between numbers and quantities; connect counting to cardinality. [K-CC4]

Understand that each successive number name refers to a quantity that is one larger. [K-CC4c]

Compare numbers.

Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies. (Include groups with up to ten objects.) [K-CC6]

Operations and Algebraic Thinking

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [K-OA1]

Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [K-OA2]

Fluently add and subtract within 5. [K-OA5]

Fractions

Types of Fractions

Equivalent Fractions

Adding and Subtracting Fractions

Multiplying and Dividing Fractions

Using Fractions in Real Life

[Fractions] Related Worksheets and Study Guides:

◂Math Worksheets and Study Guides Kindergarten. Comparing, and ordering

The resources above cover the following skills: