This is not the document you are looking for? Use the search form below to find more!

Report home > Education

Recognizing Equivalent Fractions

0.00 (0 votes)
Document Description
The best way to think about equivalent fractions is that they are fractions that have the same overall value. Equivalent fractions represent the same part of a whole. For example, if we cut a pie exactly down the middle, into two equally sized pieces, one piece is the same as one half of the pie. And if another pie (the same size) is cut into 4 equal pieces, then two pieces of that pie represent the same amount of pie that 1/2 did. So we can say that 1/2 is equivalent (or equal) to 2/4. Don't be confused! Take a look at the four circles above. Can you see that the one "1/2", the two "1/4" and the four "1/8" take up the same amount of area colored in red for their circle? Well that means that each area colored in red is an equivalent fraction or equal amount. Therefore, we can say that 1/2 is equal to 2/4, and 1/2 is also equal to 4/8.
File Details
  • Added: May, 22nd 2012
  • Reads: 81
  • Downloads: 0
  • File size: 262.32kb
  • Pages: 4
  • Tags: recognizing equivalent fractions, rational numbers on a number line, rational numbers a number line
  • content preview
Submitter
Embed Code:

Add New Comment




Related Documents

Recognizing Equivalent Fractions

by: tutorciecle123, 4 pages

Equivalent fractions are fractions that have the same value or represent the same part of an object. If a pie is cut into two pieces, each piece is also one-half of the pie. If a pie is cut into 4 ...

Equivalent Fractions Calculator

by: ramsingh11, 5 pages

Equivalent Fractions Calculator is a tool which is used to determine that if given two fractions are equivalent or not. It is a tool which makes calculations easy and fun. If two fractions are given ...

Equations with Rational Numbers

by: nishagoyal, 4 pages

Equations with Rational Numbers What are the rational numbers actually is and how can we form the equations with rational numbers. Rational numbers can be defined as the number made by dividing an ...

Subtracting Mixed Numbers From Whole Numbers

by: tutorciecle123, 4 pages

Whole numbers are the numbers which start from 0, 1, 2, and goes up to infinite, whereas when we talk about mixed fraction, it means the number which is the combination of whole number and the ...

Solving Equations

by: nishagoyal, 4 pages

Solving Equations is the process of finding the values of the variables or unknown quantities that are satisfied by the condition defined in the equation. An equation is described as the combination ...

Simplifying Trig Expressions Worksheet

by: tutorciecle123, 4 pages

We use the Trigonometric formulas and identities to simplifying trig expressions that are part of the mathematics . When we talk about the trigonometry it defines the relation between the sides and ...

Math Helper

by: vivekrose, 5 pages

Students can get Math homework help for free from our tutors who are available online 24/7. You can also get your assignment done online with TutorVista. Our Math Homework help service is very ...

Solve Quadratic Equation

by: ramsingh11, 9 pages

Learn about solving quadratic equations by factoring methods.A quadratic equation is a polynomial equation of degree 2. It can be simply represented in the form: ax2 + bx + c = 0 where 'x' is the ...

How to Solve Proportions

by: mahesh4528, 3 pages

In this page we are going to discuss about solving proportion .The How to Solve Proportions is the way of expressing the ratio between the part and the whole. A proportion is an equation in which two ...

How to Solve Proportions

by: mahesh4528, 3 pages

In this page we are going to discuss about solving proportion .The How to Solve Proportions is the way of expressing the ratio between the part and the whole. A proportion is an equation in which two ...

Content Preview
Recognizing Equivalent Fractions
Recognizing Equivalent Fractions
The best way to think about equivalent fractions is that they are fractions that have the same
overal value.
Equivalent fractions represent the same part of a whole. For example, if we cut a pie exactly
down the middle, into two equally sized pieces, one piece is the same as one half of the pie.
And if another pie (the same size) is cut into 4 equal pieces, then two pieces of that pie
represent the same amount of pie that 1/2 did. So we can say that 1/2 is equivalent (or equal)
to 2/4.
Don't be confused!
Take a look at the four circles above. Can you see that the one "1/2", the two "1/4" and the
four "1/8" take up the same amount of area colored in red for their circle?
Wel that means that each area colored in red is an equivalent fraction or equal amount.
Therefore, we can say that 1/2 is equal to 2/4, and 1/2 is also equal to 4/8.
KnowMoreAboutRationalNumbersOnANumberLine


Tutorcircle.com
PageNo.:1/4

And yes grasshopper, 2/4 is an equivalent fraction for 4/8 too.
As you already know, we are nuts about rules. So, let's look at the Rule to check to see if two
fractions are equivalent or equal.
The rule for equivalent fractions can be a little tough to explain, but hang in there, we wil clear
things up in just a bit.
Here's the Rule...
What this Rule says is that two fractions are equivalent (equal) only if the product of the
numerator (a) of the first fraction and the denominator (d) of the other fraction is equal to the
product of the denominator (b) of the first fraction and the numerator (c) of the other fraction. A
product simply means you multiply.
That sounds like a mouthful, so let's try it with numbers...
Now let's plug the numbers into the Rule for equivalent fractions to be sure you have it down
"cold".
3/4 is equivalent (equal) to 9/12 only if the product of the numerator (3) of the first fraction and
the denominator (12) of the other fraction is equal to the product of the denominator (4) of the
first fraction and the numerator (9) of the other fraction. So we know that 3/4 is equivalent to
9/12, because 3x12=36 and 4x9=36.
A simple way to look at how to check for equivalent fractions is to do what is cal ed "cross-
multiply", which means multiple the numerator of one fraction by the denominator of the other
fraction.
Then do the same thing in reverse. Now compare the two answers to see if they are equal. If
they are equal, then the two fractions are equivalent fractions. The graphic below shows you...
ReadMoreAboutRationalNumbersAnumberLine


Tutorcircle.com
PageNo.:2/4

Okay, let's do one with numbers where the fractions are not equivalent...
So you can see by this example, 1/2 is not an equivalent fraction of 2/3. If you remember to
use the cross-multiply method, you should not have any problems verifying equivalent
fractions.
The table below lists some common fractions and their equivalents. Just read the table from
left-to-right. What it shows you are values multiplied by different variations of fractions equal to
"1". You do remember that any number divided by itself is equal to "1" right? For example...
Fractions equivalent to 1/2 are 2/4, 3/6, 4/8, 5/10, 6/12, ...
Fractions equivalent to 1/5 are 2/10, 3/15, 4/20, 5/25, ...


Tut
Tu o
t rc
r i
c rc
r l
c e
l .
e c
. o
c m
Pa
P ge
g
e No
N ..::2/
3 3
/4

ThankYou
TutorCircle.com



Document Outline

  • ﾿

Download
Recognizing Equivalent Fractions

 

 

Your download will begin in a moment.
If it doesn't, click here to try again.

Share Recognizing Equivalent Fractions to:

Insert your wordpress URL:

example:

http://myblog.wordpress.com/
or
http://myblog.com/

Share Recognizing Equivalent Fractions as:

From:

To:

Share Recognizing Equivalent Fractions.

Enter two words as shown below. If you cannot read the words, click the refresh icon.

loading

Share Recognizing Equivalent Fractions as:

Copy html code above and paste to your web page.

loading