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Math Clip Art--Dividing Fractions by Whole Numbers--Example 11--One Third Divided by 6

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# Math Clip Art--Dividing Fractions by Whole Numbers--Example 11--One Third Divided by 6

## Topic

Fraction Operations

## Description

This math clip art image illustrates the division of one-third by 6 using a visual fraction model. The image presents 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 six equal parts vertically, and the resulting quotient, 1/18, is labeled.

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

Using math clip art like this to teach fraction operations is highly effective, especially for visual learners. It provides a concrete representation of an abstract concept, making it more accessible for students to grasp. By seeing the process visually, 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: "Let's examine this picture closely. We begin with one-third of a rectangle. Now, we want to divide this third into six equal parts. What happens? We end up with eighteen parts in total, and our original third is now split into six smaller pieces. So, one-third divided by six equals one-eighteenth. Notice how dividing by a larger number (six) made our fraction even smaller than when we divided by smaller numbers. Can you see the pattern continuing? As we divide by larger numbers, our resulting fraction gets smaller and smaller."

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 |
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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 |