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Math Clip Art--Dividing Fractions by Whole Numbers--Example 34--Three Fourths Divided by 5

Math Clip Art--Dividing Fractions by Whole Numbers--Example 34--Three Fourths Divided by 5

Three Fourths Divided by 5

Topic

Fraction Operations

Description

This math clip art image demonstrates the division of three-fourths by 5 using a visual fraction model. The image depicts a rectangle divided into fourths, with three-fourths highlighted. This three-fourths is then further divided into 5 equal parts, illustrating how 3/4 ÷ 5 = 3/20.

This image, as part of a larger collection, can be used to teach the concept of fraction division systematically. Teachers can use these visuals to show how dividing a fraction by a whole number always results in a smaller fraction. The sequence of images in the collection helps students grasp the idea of equal distribution in fraction division, even with more complex divisors.

Utilizing math clip art to teach fractions is essential as it provides a tangible visual representation of abstract mathematical concepts. Fraction models like this one enable students to visualize the process of division, making it more accessible and memorable. For dividing fractions by whole numbers, the steps illustrated are: 1) Represent the initial 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 examine this image together. We begin with three-fourths of the whole rectangle. Now, imagine we need to share these three-fourths equally among 5 people. How much would each person receive? We can see that each of the 5 parts is actually three-twentieths of the whole rectangle. Therefore, three-fourths divided by 5 equals three-twentieths. Notice how dividing by 5 has made our fraction even smaller than in previous examples. Can you explain why the denominator of our result is now 20?"

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