Basic Fraction ReviewBasic Fraction Review

Reading and Writing Reading and Writing FractionsFractions

A fraction is a A fraction is a number that stands number that stands for part of for part of something.something.

It is expressed in It is expressed in two parts.two parts. 4

3

The numerator tells how many of those equal parts the fraction stands for.

The denominator tells how many parts are in the whole.

Example 1Example 1

What fraction of What fraction of the pizza remains?the pizza remains?

83

The numerator tells how many of those equal parts the fraction stands for.

The denominator tells how many parts are in the whole.

Example 2Example 2

What fraction of What fraction of the pencils are the pencils are small?small?

74

The numerator tells how many of those equal parts the fraction stands for.

The denominator tells how many parts are in the whole.

Representing FractionsRepresenting Fractions

1. Circle Fraction:1. Circle Fraction:

4 1

1. Draw a basic shape.

2. Divide the shape into 4 equal parts.

3. Shade 1 of the parts.

Representing FractionsRepresenting Fractions

2. Rectangle 2. Rectangle Fraction:Fraction:

41

Representing FractionsRepresenting Fractions

3. Rectangle 3. Rectangle Fraction:Fraction:

41

Representing FractionsRepresenting Fractions

4. Rectangle 4. Rectangle Fraction:Fraction:

41

Can you create a different representation of the fraction ¼?

Equivalent FractionsEquivalent Fractions

Equivalent fractionsEquivalent fractions are fractions are fractions that have the same value.that have the same value.

21

42

84= = = ?

X 2 X 2

X 2 X 2

Equivalent FractionsEquivalent Fractions● ● Multiply or divide the numerator by Multiply or divide the numerator by

the same number.the same number.

= =21

42

84

=X 2 X 2 X 2

X 2 X 2 X 2 16 8

Simplifying FractionsSimplifying Fractions

A fraction is in A fraction is in simplest form simplest form when its when its numerator and numerator and denominator have denominator have no common no common factors other than factors other than 1.1.

A student survey shows that 6 out of 18 children in the class said that they would go to a theme park over the summer break.

Simplifying FractionsSimplifying Fractions

Step 2Step 2

Keep dividing by Keep dividing by common factors until common factors until the only common the only common factor is one.factor is one.

Step 1Step 1

Divide the numerator Divide the numerator and the denominator and the denominator by a common factor.by a common factor.

3 is a common factor of 6 and 3 is a common factor of 6 and 1818

= =6

18

2

6

6 ÷ 3

18 ÷ 32 is a common factor of 2 and 2 is a common factor of 2 and

66

= =2

6

1

3

2 ÷ 2

6 ÷ 2

Adapted from Adapted from Math To KnowMath To Know by Mary C. Cavanagh by Mary C. Cavanagh