Math Clip Art--Dividing Fractions by Whole Numbers--Example 122--Six Eighths Divided by 3

Topic

Fraction Operations

Description

This math clip art image illustrates the process of dividing six-eighths by 3 using a rectangular model. The model depicts a rectangle divided into eight equal horizontal strips, with six of these strips shaded to represent six-eighths. To demonstrate the division by 3, each horizontal strip is further divided into three equal parts using vertical lines, creating 24 total parts.

In this model, the original six-eighths (6 horizontal strips) are now divided into 18 smaller rectangles. When we divide these 18 parts among 3 (the divisor), we get 6 small parts per group. These 6 small parts out of 24 total parts give us the final answer: 6/24, which can be simplified to 1/4.

This visual representation helps students understand that dividing a fraction by a whole number results in a smaller fraction. It also demonstrates how the denominator of the original fraction is multiplied by the divisor to get the new denominator (8 * 3 = 24).

Teacher's Script: "Look at our rectangular fraction model showing six-eighths. We need to divide this into 3 equal parts. How can we achieve this? We'll divide each eighth into 3 smaller pieces using vertical lines. Count how many of these new, smaller rectangles are shaded. Now, let's divide these shaded parts into 3 groups. How many small parts are in each group? What fraction of the whole does this represent? Can we simplify this fraction further?"

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