Math Clip Art--Dividing Fractions by Whole Numbers--Example 107--Three Eighths Divided by 6

Topic

Fraction Operations

Description

This math clip art image illustrates the process of dividing three-eighths by 6 using a rectangular model. The model depicts a rectangle divided into eight equal horizontal strips, with three of these strips shaded to represent three-eighths. To demonstrate the division by 6, each horizontal strip is further divided into six equal parts using vertical lines, creating 48 total parts.

In this model, the original three-eighths (3 horizontal strips) are now divided into 18 smaller rectangles. When we divide these 18 parts among 6 (the divisor), we get 3 small parts per group. These 3 small parts out of 48 total parts give us the final answer: 3/48, which can be simplified to 1/16.

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 * 6 = 48).

Teacher's Script: "Look at our rectangular fraction model showing three-eighths. We need to divide this into 6 equal parts. How can we achieve this? We'll divide each eighth into 6 smaller pieces using vertical lines. Count how many of these new, smaller rectangles are shaded. Now, let's divide these shaded parts into 6 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.