Math Clip Art--Dividing Fractions by Whole Numbers--Example 110--Four Eighths Divided by 3

Topic

Fraction Operations

Description

This math clip art image demonstrates the division of four-eighths by 3 using a rectangular model. The model shows a rectangle divided into eight equal horizontal strips, with four of these strips shaded to represent four-eighths. To illustrate the division by 3, each horizontal strip is further divided into three equal parts using vertical lines, resulting in 24 total parts.

In this model, the original four-eighths (4 horizontal strips) are now divided into 12 smaller rectangles. When we divide these 12 parts among 3 (the divisor), we get 4 small parts per group. These 4 small parts out of 24 total parts represent the final answer: 4/24, which can be simplified to 1/6.

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: "Examine our rectangular fraction model showing four-eighths. We need to divide this into 3 equal parts. How can we do 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?"

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