Math Clip Art--Dividing Fractions by Whole Numbers--Example 123--Six Eighths Divided by 4

Topic

Fraction Operations

Description

This math clip art image demonstrates the division of six-eighths by 4 using a rectangular model. The model shows a rectangle divided into eight equal horizontal strips, with six of these strips shaded to represent six-eighths. To illustrate 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 six-eighths (6 horizontal strips) are now divided into 24 smaller rectangles. When we divide these 24 parts among 4 (the divisor), we get 6 small parts per group. These 6 small parts out of 32 total parts represent the final answer: 6/32, which can be simplified to 3/16.

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 * 4 = 32).

Teacher's Script: "Examine our rectangular fraction model showing six-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? Can we simplify this fraction?"

For a complete collection of math clip art related to Fraction Division click on this link: Fraction Division Collection.