Math Clip Art--Dividing Fractions by Whole Numbers--Example 124--Six Eighths Divided by 5

Topic

Fraction Operations

Description

This math clip art image illustrates the process of dividing six-eighths by 5 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 5, each horizontal strip is further divided into five equal parts using vertical lines, creating 40 total parts.

In this model, the original six-eighths (6 horizontal strips) are now divided into 30 smaller rectangles. When we divide these 30 parts among 5 (the divisor), we get 6 small parts per group. These 6 small parts out of 40 total parts give us the final answer: 6/40, which can be simplified to 3/20.

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: "Observe our fraction model showing six-eighths. We need to divide this into 5 equal parts. How can we do 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? 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.