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 is the number above the line and it represents the part being considered. The denominator is the number below the line and it represents the total number of parts that make up a whole or a group.

Fractions can be classified as proper fractions, improper fractions, and mixed numbers. Proper fractions have a smaller numerator than the denominator, improper fractions have a larger numerator than the denominator, and mixed numbers consist of a whole number and a fraction combined.

Common operations with fractions include addition, subtraction, multiplication, and division. When adding or subtracting fractions, the denominators must be the same. When multiplying fractions, you simply multiply the numerators and the denominators. When dividing fractions, you multiply by the reciprocal of the second fraction.

Equivalent fractions are different fractions that represent the same portion of a whole. They have different numerators and denominators, but when simplified, they are equal.

Fractions can also be expressed as decimals or percentages. For example, 1/2 as a decimal is 0.5 and as a percentage is 50%.

.Study GuideComparing Fractions Activity LessonFraction Circles Activity LessonParty Plan Worksheet/Answer key

Comparing Fractions Worksheet/Answer key

Comparing Fractions Worksheet/Answer key

Comparing Fractions Worksheet/Answer keyComparing Fractions Worksheet/Answer keyOrdering Fractions Vocabulary/Answer keyComparing Fractions

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.

Use models, benchmarks, and equivalent forms to judge the size of fractions.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Grade 3 Curriculum Focal Points (NCTM)

Number and Operations: Developing an understanding of fractions and fraction equivalence

Students develop an understanding of the meanings and uses of fractions to represent parts of a whole, parts of a set, or points or distances on a number line. They understand that the size of a fractional part is relative to the size of the whole, and they use fractions to represent numbers that are equal to, less than, or greater than 1. They solve problems that involve comparing and ordering fractions by using models, benchmark fractions, or common numerators or denominators. They understand and use models, including the number line, to identify equivalent fractions.