Math Clip Art--Dividing Fractions by Whole Numbers--Example 130--Seven Eighths Divided by 5

Topic

Fraction Operations

Description

This math clip art image demonstrates the division of seven-eighths by 5 using a rectangular model. The model shows a rectangle divided into eight equal horizontal strips, with seven of these strips shaded to represent seven-eighths. To illustrate the division by 5, each horizontal strip is further divided into five equal parts using vertical lines, resulting in 40 total parts.

In this model, the original seven-eighths (7 horizontal strips) are now divided into 35 smaller rectangles. When we divide these 35 parts among 5 (the divisor), we get 7 small parts per group. These 7 small parts out of 40 total parts represent the final answer: 7/40.

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 * 5 = 40).

Teacher's Script: "Look at our rectangular fraction model showing seven-eighths. We need to divide this into 5 equal parts. How can we achieve this? We'll divide each eighth into 5 smaller pieces using vertical lines. Count how many of these new, smaller rectangles are shaded. Now, let's divide these shaded parts into 5 groups. How many small parts are in each group? What fraction of the whole does this represent?"

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