A fraction represents a part of a whole or a part of a group. It is written in the form of one number (numerator) over another number (denominator), separated by a horizontal line. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.

Fractions can be classified into different types:

**Proper Fraction:**A fraction where the numerator is less than the denominator, such as 2/5.**Improper Fraction:**A fraction where the numerator is greater than or equal to the denominator, such as 7/4.**Mixed Number:**A combination of a whole number and a proper fraction, such as 3 1/2.**Equivalent Fractions:**Fractions that represent the same part of a whole, such as 1/2 and 2/4.

There are four basic operations that can be performed with fractions:

**Addition:**To add fractions, the denominators must be the same. If they are not, find a common denominator and then add the numerators.**Subtraction:**Similar to addition, but subtract the numerators instead.**Multiplication:**Multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator.**Division:**To divide fractions, multiply the first fraction by the reciprocal of the second fraction (flip the second fraction and then multiply).

When comparing fractions, if the denominators are the same, you can compare the numerators. If the denominators are different, you can find a common denominator and then compare the numerators.

Understanding fractions is important for many real-life situations, such as cooking, measuring, and dividing quantities into equal parts.

Remember that practice is key to mastering fractions, so keep practicing and solving problems to become more comfortable with them!

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.