Fractions

Fun with Fractions

Jack Anderson

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A Great Way to Review Basic Concepts

Table of Contents

Expressing a Fraction as Part of a Whole

Classifying Fractions

Equivalent Fractions

Simplest Form of a Fraction

Fractions to Decimals

Let’s begin with a fun question to

get you ready for fractions.

*INTRODUCTION TO FRACTIONS *

*PicScience *

Answer: A

FRACTION

 A that names

of a whole

Or

of a group

GENERAL INFORMATION

 A fraction is always represented as a

with numerator and denominator

 Let’s Say

Or

 numerator (part chosen)

 denominator (total number of parts)

 Read as one-fourth.

EXAMPLES OF SOME FRACTIONS

1

Read as one-half.

2

3 Read as three-sevenths.

7

5

Read as five-eights.

8

FRACTIONAL REPRESENTATION

 A circle is divided into 8 equal parts with 2 parts shaded in red. What fraction of the circle is shaded?

 Red parts – numerator – 2

 Total parts – denominator – 8

2

 So the fraction is represented as

8

 Read: two-eighths of the circle is shaded

WHAT FRACTION OF THE CIRCLE IS

SHADED?

 5 parts are shaded in red

 The circle is divided into 8 equal parts

 Parts – 5 (red) – numerator

 Whole – 8 –denominator

5

 So the fraction is represented as 8

 Read: five-eighths of the circle is shaded

DRAW YOUR OWN FIGURE

 A rectangle divided into 5 equal parts with 2 of

the parts shaded in red. Write a fraction for the

part that is shaded.

 Parts – 2 (red) – numerator

 Whole – 5 –denominator

2

 So the fraction is represented as 5

 Read: two-fifths of the rectangle is shaded

CLASSIFYING FRACTIONS

 These fractions are similar because they all have

a denominator of 3.

1

2

3

3

3

3

1

2

 The fractions and are proper fractions.

3

3

3

 The fraction is an improper fraction.

3

CLASSIFYING FRACTIONS



EXAMPLES OF IMPROPER AND PROPER

FRACTIONS

*Fraction *

*Type *

*Words *

Proper

One-half

4

2

1

3

5

4 Improper

Four-thirds

1

2

Improper

Five-fifths

3

3

3

Proper

Two-thirds

3

CLASSIFYING FRACTIONS



The improper fractions above have a numerator that is equal to the denominator.

Each fraction above is equal to one whole, or one.

CLASSIFYING FRACTIONS

CLASSIFYING FRACTIONS



WRITE THE FRACTIONS AS A MIXED

NUMBER.



CLASSIFYING FRACTIONS

*Fraction *

*Words *

*Type *

Three-fourths

Proper

Five-halves

Improper

Two and one- fourth

Mixed number

One- third

Mixed number

Three and one- fifth

Mixed number

EQUIVALENT FRACTIONS

 These are equivalent fractions because they all

have the same value.

2

 The simplest form of all these fractions is .

3

EQUIVALENT FRACTIONS



EQUIVALENT FRACTIONS





Multiplying the numerator and the denominator of a fraction by the same nonzero whole number will change that fraction into an equivalent fraction but it will not change the value.



SIMPLEST FORM OF A FRACTION

 Simplest form – no common factors for numerator and denominator

 Factors – numbers that are multiplied to give a

product

BASIC CONCEPTS

 Any number multiplied or divided by doesn’t

change its value.

 Similarly dividing numerator and denominator by the same number won’t change the value of the fraction.

BASIC CONCEPTS

The value of the fraction

doesn’t change.

 Dividing the numerator and denominator by the same number is the same as dividing by 1.

FIND THE SIMPLEST FORM OF A FRACTION,

EXAMPLE 4

16

 First, find the common factors of the numerator

and denominator.

 Factors of 4: 1, 2, 4 (1 × 4 = 4; 2 × 2 = 4; 4 × 1 = 4)

 Factors of 16: 1, 2, 4, 8, 16 (1 × 16 = 16; 2 × 8 = 16; 4

× 4 = 16; 8 × 2 = 16; 16 × 1 = 16)

 Next, find the Greatest Common Factor.

 Greatest number that is a factor for both numerator and denominator.

 Here, it is 4.

S

4

IMPLEST FORM OF 16

 Divide the numerator and denominator by the

Greatest Common Factor.

 4 ÷ 4 = 1

 16 ÷ 4 = 4

4

1

 So, the simplest form of is .

16

4

FIND THE SIMPLEST FORM OF

 Common factors

 16 : 1, 2, 4, 8, 16

 84 : 1, 2, 4, 6, 7, 12, 14, 21, 42,84

 Once past the maximum value of the numerator there won’t be a common factor.

 Greatest Common Factor = 4

TOY CARS

 Alex has six toy cars. Three of the cars are blue.

How can you write a fraction for the blue cars in

simplest form?

 Fraction

 Common factors

 3 – 1, 3

 6 – 1, 2, 3, 6

6 FISH ARE GREEN AND 6 ARE BLUE, SO

OF THE FISH ARE BLUE.

1

6

 is the simplest form of

2

12

2

3

4

6

1

 , , and are other ways of representing 4

6

8

12

2

LET’S PLAY A GAME

This year, 100 people are playing the game. Of this number 30

people have never played before. How can you express this part of the group as a fraction and as a decimal?

 Write thirty-hundredths this way

 Ones Tenths Hundredths

30

 Of the 100 players, or 0.3 are new players.

100

30

 Simplest form of 100

 Factors of 30: 1, 2, 5, 6, 10, 15, 30

 Factors of 100: 1, 2, 4, 5, 10, 25, 50, 100

6 OF THE 100 DIDN’T FINISH THE GAME

 Fraction six-hundredths

 Ones Tenths Hundredths

 Hint: Read a decimal by reading the place value

of the last digit at the right.

FRACTIONS TO DECIMALS

 A decimal is another way of representing a

fraction.

 A decimal has no numerator or denominator.

 For example, the fraction can be expressed as a decimal,

 The period ( . ) represents the decimal point.

 Read as five-tenths.

FRACTIONS TO DECIMALS

 Examples:

 0.9 nine-tenths

 0.3 three-tenths

 0.25 twenty five-hundredths

 Hint: Numbers after decimals are read as tenths

and hundredths.

BASIC CONCEPTS

 Note:

 Multiples of 10 in the numerator – increase the final value

 Multiples of 10 in the denominator – decrease the

final value

WRITE A DECIMAL AND FRACTION FOR THE

SHADED PARTS.

WHICH OF THE FOLLOWING IS

EQUIVALENT TO

2 ?

5

 Because the answer has a decimal in tenths, let’s

find an equivalent fraction with 10 in the

denominator.

2

2

 Multiply by .

5

2

WHICH OF THE FOLLOWING IS

EQUIVALENT TO 0.83?

 Ones Tenths Hundredths

 The last digit, 3, is in the hundredths place.

 So, the denominator is 100.

WHICH DECIMAL IS EQUIVALENT TO

1 ?

4

 Because the answer has a decimal in hundredths,

let’s find an equivalent fraction with 100 in the

denominator.

Now that you’ve reviewed fractions, let’s see how

well you understand the basic concepts.

Download Bake a Cake with Fractions! to test your knowledge.

If you don’t ace the quiz, you can come back to this lesson for a quick review.

Bake a Cake with Fractions!

Get Your Free Copy Here

A Great Way to Review Basic Concepts

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