Math Clip Art--Dividing Fractions by Whole Numbers--Example 77--Three Sixths Divided by 6

Topic

Fraction Operations

Description

This math clip art image illustrates the division of three-sixths by 6 using a visual fraction model. The image shows a rectangle divided into sixths, with three-sixths shaded. This three-sixths is then further divided into 6 equal parts, demonstrating how 3/6 ÷ 6 = 3/36, or 1/12.

As part of a comprehensive collection, this image can be used to teach fraction division step-by-step. Teachers can use these visuals to explain how dividing a fraction by a whole number results in a smaller fraction. The series of images helps students understand the concept of equal sharing in fraction division, especially with larger and more complex divisors.

Using math clip art to teach fractions is crucial as it provides a concrete visual representation of abstract concepts. Fraction models like this one help students visualize the process of division, making it easier to understand and remember. For dividing fractions by whole numbers, the steps shown are: 1) Represent the fraction, 2) Divide it into the number of parts indicated by the whole number divisor, 3) Identify the resulting smaller fraction.

Teacher's Script: "Let's analyze this image together. We start with three-sixths of the rectangle. Now, imagine we need to share these three-sixths equally among 6 people. How much would each person get? We can see that each of the 6 parts is actually one-twelfth of the whole rectangle. So, three-sixths divided by 6 equals one-twelfth. Notice how dividing by 6 has reduced our fraction to one-sixth of its original size. Can you explain why this happens? Also, how does knowing that three-sixths is equivalent to one-half help us understand this division?"

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