Number Sense

Number Sense

Understanding numbers, their relationships and numerical reasoning

Algebra

Algebra

Using symbols to solve equations and express patterns

Geometry

Geometry

Studying shapes, sizes and spatial relationships in mathematics

Measurement

Measurement

Quantifying and comparing attributes like length, weight and volume

Operations

Operations

Performing mathematical operations like addition, subtraction, division

Probability and Statistics

Probability and Statistics

Analyzing uncertainty and likelihood of events and outcomes

Community Resources

Get started with our Resources

Calculator Suite

Explore functions, solve equations, construct geometric shapes

Graphing Calculator

Visualize equations and functions with interactive graphs and plots

Geometry

Explore geometric concepts and constructions in a dynamic environment

3D Calculator

Graph functions and perform calculations in 3D

Scientific Calculator

Perform calculations with fractions, statistics and exponential functions

Notes

Explore our online note taking app with interactive graphs, slides, images and much more

Get started with the GeoGebra Apps

Number Sense

Number Sense

Understanding numbers, their relationships and numerical reasoning

Algebra

Algebra

Using symbols to solve equations and express patterns

Geometry

Geometry

Studying shapes, sizes and spatial relationships in mathematics

Measurement

Measurement

Quantifying and comparing attributes like length, weight and volume

Operations

Operations

Performing mathematical operations like addition, subtraction, division

Probability and Statistics

Probability and Statistics

Analyzing uncertainty and likelihood of events and outcomes

Community Resources

Get started with our Resources

Calculator Suite

Explore functions, solve equations, construct geometric shapes

Graphing Calculator

Visualize equations and functions with interactive graphs and plots

Geometry

Explore geometric concepts and constructions in a dynamic environment

3D Calculator

Graph functions and perform calculations in 3D

Scientific Calculator

Perform calculations with fractions, statistics and exponential functions

Notes

Explore our online note taking app with interactive graphs, slides, images and much more

Get started with the GeoGebra Apps

Whole Number of Fractions

Whole Number of Fractions

Animate a model for multiplying a fraction by a whole number.

GeoGebra Content Team

Author:

GeoGebra Content Team

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Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Open-ended question

Describe to a friend how you can multiply .

Text and math input

GeoGebra Content Team

Author:

GeoGebra Content Team

Share it with your students:

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Prerequisite Resources

Exploration

GR. 4-5

Equivalent Fractions with Larger Denominators

Exploration

GR. 4-5

Modeling the Fractional Part of a Set

Exploration

GR. 4-5

Equivalent Fractions with Smaller Denominators

More from Operations with Fractions

Practice

GR. 6-8

Mixed Number and Fraction Division

Practice

GR. 4-5

Writing Fractions as a Product of Unit Fractions Using a Tape Diagram

Exploration

GR. 4-5

Modeling Division as a Fraction

Next Resources

Practice

GR. 6-8

Converting Unit Rates with Dimensional Analysis

Exploration

GR. 4-5

Dividing Fractions Using Visual Models

Exploration

GR. 4-5

Dividing Whole Numbers by Fractions Word Problems