Equivalent Fractions, Comparing and

Ordering of Fractions

By Eileen Slattery

ALL ABOUT FRACTIONSALL ABOUT FRACTIONS

ORDERING

COMPARING DENOMINATOR

EQUIVALENT

NUMERATOR

FRACTIONS

WORDS TO KNOW!WORDS TO KNOW!

Fractions Whole (One) Unit Fractions Equivalent Fractions Numerator Denominator Common Denominator Improper Fractions Mixed Numbers

Learning ObjectiveLearning Objective

Students will:Students will: Understand how to find Understand how to find equivalent equivalent

fractionsfractions by using multiplication and by using multiplication and division rules.division rules.

Compare and order fractions by identifying Compare and order fractions by identifying common denominators common denominators and use the proper and use the proper symbol. (<, >, and =)symbol. (<, >, and =)

Name the same Mjamount. (i.e. Mj

1/2=2/4) Mj

Evenly divide a Mjwhole object into Mj

equal parts. MjIdentify the whole Mjof something (i.e. Mj

pizza) Mj

From least to Mjgreatest or Mj

greatest to least Mj

Understanding MjFRACTIONS MjEquivalent Mj

Fractions Mj

Comparing & MjOrdering of MjFractions Mj

Numerator Mj Denominator Mj

Identify MjEquivalent MjFractions Mj Sort Mj

fractions by Mjsize Mj

Name parts Mjof a whole as Mj

fractions Mj

Parts of a Mjwhole Mj

Fractions that Mjhave the same Mjvalue. (i.e. 2/3, Mj4/6, and 10/15 Mjare equivalent Mj

fractions. Mj

A way to Mjdescribe a part Mjof a whole or a Mjpart of a group Mjby using equal Mj

parts. MjThe number Mjwritten above Mjthe line in a Mj

fraction. It tells Mjhow many Mj

equal parts are Mjdescribed by Mj

the fraction. In Mj5/8 the Mj

numerator is 5. Mj

The quantity Mjbelow the line Mjin a fraction. It Mjtells how many Mjequal parts are Mj

in the whole. MjIn the fraction Mj

3/5, the Mjdenominator is Mj

5. Mj

Unit Fractions Mj

A fraction that has one (1) Mjas its numerator. (i.e. 1/2, Mj

1/3, 1/4) Mj

What we did Mjbefore Mj

What's Next Mjfor our Mj

Fractions! Mj

ADDITION OF MjFRACTIONS Mj

SUBTRACTION MjOF FRACTIONS Mj

What are fractions?

A fraction is a way to describe a part of a whole or a part of a group by using equal parts. It is made up of two parts.

The denominator tells how The numerator tells how many equal parts are in many of those equal partsthe whole. 3 The fraction stands for.

4

What is a Unit Fraction?

A unit fraction has 1 as its numerator. ½, 1/3, ¼, and 1/5 are all unit fractions.

When you divide something into more and more equal parts, the size of each part gets smaller, but the denominator of the fraction gets larger.

Equivalent fractions name the same amount.

                       

Equivalent fractions name the same amount.

                       What are Equivalent Fractions?

Equivalent Fractions are fractions that have the same value. 2/3, 4/6, and 10/15 are equivalent fractions. See the fraction strips below.

How do We Compare and Order our Fractions?

You can compare fractions with like denominators.

i.e. 3/8 < 5/8 < 7/8

You can compare fractions with unlike denominators.

i.e. 5/8 < 8/12

•a ruler marked in eighths or sixteenths of an inch

How Can You Order fractions?

Once you know how to compare two fractions, you also know how to order a group of fractions.

Find fractions with like denominators

Compare the numerators

Multiples of 4: 4,8,12,16,20,...Multiples of 5: 5,10,15,20,…Multiples of 10: 10,20,…20 is the least common denominator.1/10 = 2/20; ¼ = 5/20; 2/5=8/20

8 > 5 > 28/20 > 5/20 > 2/20 , so

2/5 > ¼ > 1/10.

1/10 is less than ¼ or 2/5

A “View” to a Fraction

Can You Find the Equivalent Fraction?

What Fraction is < or > or = ?

Math Games Equivalent FractionsMath Games Equivalent Fractions

Equivalent Fractions Game

Standards5.N.4 Create equivalent fractions, given a fraction.

5.N.5 Compare and order fractions including unlike denominators (with and without the use of a number line) Note: Commonly used fractions such as those that might be indicated on a ruler, measuring cup, etc.

5.N.9 Compare fractions using <, >, and =

COMMON CORE STATE STANDARDS (new)

4.NF.2 Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as ½. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

WHAT’S NEXT WITH FRACTIONS?

•Students will learn how to add and subtract fractions with like and unlike denominators.

To add: If fractions have like denominators, add the numerators to get a new numerator. Usethe same denominator.

3/8 + 3/8 = 6/8

To add: If fractions have unlike denominators, rewrite them with like denominators. ½ + ¼ = ?

½ x 2/2 = 2/4 2/4 + ¼ = ¾

When subtracting fractions you follow the same directions as addition.

NEXT UP ….. MULTIPLICATION AND DIVISION OF FRACTIONS…