Math Clip Art--Dividing Fractions by Whole Numbers--Example 80--Four Sixths Divided by 3

Topic

Fraction Operations

Description

This math clip art image demonstrates the division of four-sixths by 3 using a visual fraction model. The image depicts a rectangle divided into sixths, with four-sixths highlighted. This four-sixths is then further divided into 3 equal parts, illustrating how 4/6 ÷ 3 = 4/18 or 2/9.

This image, as part of a larger collection, can be used to teach the concept of fraction division systematically. Teachers can use these visuals to show how dividing a fraction by a whole number always results in a smaller fraction. The sequence of images in the collection helps students grasp the idea of equal distribution in fraction division.

Utilizing math clip art to teach fractions is essential as it provides a tangible visual representation of abstract mathematical concepts. Fraction models like this one enable students to visualize the process of division, making it more accessible and memorable. For dividing fractions by whole numbers, the steps illustrated are: 1) Represent the initial fraction, 2) Divide it into the number of parts indicated by the whole number divisor, 3) Identify the resulting smaller fraction.

Teacher's Script: "Let's examine this image together. We begin with four-sixths of the whole rectangle. Now, imagine we need to share these four-sixths equally among 3 people. How much would each person receive? We can see that each of the 3 parts is actually two-ninths of the whole rectangle. Therefore, four-sixths divided by 3 equals two-ninths. Notice how dividing by 3 has made our fraction smaller. Can you explain why the denominator of our result is now 9? Also, how does recognizing that four-sixths is equivalent to two-thirds help us understand this division?"

For a complete collection of math clip art related to Fraction Division click on this link: Fraction Division Collection.