Math Clip Art--Dividing Fractions by Whole Numbers--Example 17--Two Thirds Divided by 6

Topic

Fraction Operations

Description

This math clip art image demonstrates the division of two-thirds by 6 using a visual fraction model. The image shows a rectangular model divided into three equal parts horizontally, with two parts shaded to represent the fraction 2/3. The rectangle is then divided into six equal parts vertically, and the resulting quotient, 2/18, is labeled, which simplifies to 1/9.

This visual representation is crucial in helping students understand that when dividing a fraction by a whole number, the resulting fraction becomes smaller. It clearly illustrates how the denominator increases while the numerator remains the same, effectively "splitting" each part of the original fraction into smaller pieces. This concept is fundamental for developing a comprehensive understanding of fraction division.

Using math clip art like this to teach fraction operations is highly effective, particularly for visual learners. It provides a tangible representation of an abstract concept, making it more accessible for students to grasp. By visualizing the process, students can better comprehend why dividing by a whole number results in a smaller fraction, and how the size of the divisor affects the result.

Teacher's Script: "Take a close look at this picture. We start with two-thirds of a rectangle. Now, we want to divide these two-thirds into six equal parts. What happens? We end up with eighteen parts in total, and our original two-thirds are now split into six smaller pieces each. So, two-thirds divided by six equals one-ninth. Notice how dividing by an even larger number (six) made our fraction smaller than all our previous examples. Can you compare this result to when we divided two-thirds by three? What do you notice about the relationship between the divisor and the resulting fraction?"

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