VisualFractions A Beginning Fractions Book
Dr.Pi Squared
2014 Dr. Pi Squared Math Workbooks
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Nonfiction/childrens/mathematics/arithmetic
Nonfiction/education/mathematics/arithmetic
Contents
Introduction
This workbook provides practice determining fractionsvisually. For example, a circle may be divided into red, yellow, and blue pieslices, and the exercise may be to figure out what fraction of the slices areeach color. Other shapes include triangles, squares, and hexagons; someexercises also feature smiley faces, letters, and numbers. The hope is thatthese exercises will help convey a sense of what fractions mean in a way thatseasy to visualize.
Answers : The answer toeach problem can be checked with the click of a footnote. Note that the answersare all stated as reduced fractions .
Reduced fractions :Sometimes, a fraction may be written more than one way. For example, three-fourthsof each pie below is colored blue. This shows that 9/12 is equal to 3/4; theform 3/4 is called the reduced fraction, since it is simpler. If you divide theslices of the left pie into groups of three, you will see that three of thefour groups are blue (and one group is yellow).
Chapter 1
Circles
Exercise 1.
What fraction of each circle above is blue?
What fraction of each circle above is yellow?
What fraction of each circle above is red?
Click this footnoteto check your answers to Exercise 1.
Note regarding answers :Sometimes, there is more than one way to express the fraction. In this case, wehave given the reduced fraction . Forexample, if 6 out of 9 circles are red, we could say that 6/9 are red. However,if 6 out of 9 are red, we can divide the circles into groups of 3, and see that2 out of 3 of the groups are red, or that 2/3 of the circles are red. In thiscase, 2/3 is the reduced fraction; 2/3 is equal to 6/9. See the image at theend of the introduction for a visual example of this.
Exercise 2.
What fraction of each circle above is blue?
What fraction of each circle above is yellow?
What fraction of each circle above is red?
Click this footnoteto check your answers to Exercise 2.
Exercise 3.
What fraction of each circle above is blue?
What fraction of each circle above is yellow?
What fraction of each circle above is red?
Click this footnoteto check your answers to Exercise 3.
Exercise 4.
What fraction of each circle above is blue?
What fraction of each circle above is yellow?
What fraction of each circle above is red?
Click this footnoteto check your answers to Exercise 4.
Exercise 5.
What fraction of each circle above is blue?
What fraction of each circle above is yellow?
What fraction of each circle above is red?
Click this footnoteto check your answers to Exercise 5.
Exercise 6.
What fraction of each circle above is blue?
What fraction of each circle above is yellow?
What fraction of each circle above is red?
Click this footnoteto check your answers to Exercise 6.
Exercise 7.
What fraction of each circle above is blue?
What fraction of each circle above is yellow?
What fraction of each circle above is red?
Click this footnoteto check your answers to Exercise 7.
Exercise 8.
What fraction of each circle above is blue?
What fraction of each circle above is yellow?
What fraction of each circle above is red?
Click this footnoteto check your answers to Exercise 8.
Exercise 9.
What fraction of each circle above is blue?
What fraction of each circle above is yellow?
What fraction of each circle above is red?
Click this footnoteto check your answers to Exercise 9.
Exercise 10.
What fraction of each circle above is blue?
What fraction of each circle above is yellow?
What fraction of each circle above is red?
Click this footnoteto check your answers to Exercise 10.
Exercise 11.
What fraction of each circle above is blue?
What fraction of each circle above is yellow?
What fraction of each circle above is red?
Click this footnoteto check your answers to Exercise 11.
Exercise 12.
What fraction of each circle above is blue?
What fraction of each circle above is yellow?
What fraction of each circle above is red?
Click this footnoteto check your answers to Exercise 12.
Exercise 13.
What fraction of each circle above is blue?
What fraction of each circle above is yellow?
What fraction of each circle above is red?