Math Clip Art--Dividing Fractions by Whole Numbers--Example 126--Six Eighths Divided by 8

Topic

Fraction Operations

Description

This math clip art image illustrates the process of dividing six-eighths by 8 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 8, each horizontal strip is further divided into eight equal parts using vertical lines, creating 64 total parts.

In this model, the original six-eighths (6 horizontal strips) are now divided into 48 smaller rectangles. When we divide these 48 parts among 8 (the divisor), we get 6 small parts per group. These 6 small parts out of 64 total parts give us the final answer: 6/64, which can be simplified to 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 * 8 = 64).

Teacher's Script: "Observe our fraction model showing six-eighths. We need to divide this into 8 equal parts. How can we do this? We'll divide each eighth into 8 smaller pieces using vertical lines. Count how many of these new, smaller rectangles are shaded. Now, let's divide these shaded parts into 8 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.