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Math Clip Art--Dividing Fractions by Whole Numbers--Example 12--One Third Divided by 8

Math Clip Art--Dividing Fractions by Whole Numbers--Example 12--One Third Divided by 8

One Third Divided by 8

Topic

Fraction Operations

Description

This math clip art image demonstrates the division of one-third by 8 using a visual fraction model. The image shows a rectangular model divided into three equal parts horizontally, with one part shaded to represent the fraction 1/3. The rectangle is then divided into eight equal parts vertically, and the resulting quotient, 1/24, is labeled.

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 one-third of a rectangle. Now, we want to divide this third into eight equal parts. What happens? We end up with twenty-four parts in total, and our original third is now split into eight smaller pieces. So, one-third divided by eight equals one-twenty-fourth. Notice how dividing by an even larger number (eight) made our fraction smaller than all our previous examples with one-third. Can you predict what would happen if we divided by an even larger number?"

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

Common Core Standards CCSS.MATH.CONTENT.5.NF.B.7, CCSS.MATH.CONTENT.6.NS.A.1, CCSS.MATH.CONTENT.5.NF.B.7.A, CCSS.MATH.CONTENT.5.NF.B.7.B, CCSS.MATH.CONTENT.5.NF.B.7.C
Grade Range 5 - 8
Curriculum Nodes Arithmetic
    • Fractions
        • Fractions and Mixed Numbers
Copyright Year 2015
Keywords math clip art, fractions, fraction division, dividing fractions by whole numbers