Math Clip Art--Dividing Fractions by Whole Numbers--Example 105--Three Eighths Divided by 4

Topic

Fraction Operations

Description

This math clip art image illustrates the process of dividing three-eighths by 4 using a rectangular model. The model shows a rectangle divided into eight equal horizontal strips, with three of these strips shaded to represent three-eighths. To demonstrate the division by 4, each horizontal strip is further divided into four equal parts using vertical lines, resulting in 32 total parts.

In this model, the original three-eighths (3 horizontal strips) are now divided into 12 smaller rectangles. When we divide these 12 parts among 4 (the divisor), we get 3 small parts per group. These 3 small parts out of 32 total parts represent the final answer: 3/32.

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 * 4 = 32).

Teacher's Script: "Let's look at our rectangular fraction model showing three-eighths. We need to divide this into 4 equal parts. How can we do this? We'll divide each eighth into 4 smaller pieces using vertical lines. Count how many of these new, smaller rectangles are shaded. Now, let's divide these shaded parts into 4 groups. How many small parts are in each group? What fraction of the whole does this represent?"

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