Fractions
Fractions
Equivalent fractions
If the top and bottom of any fraction are multiplied by the
same number, the resulting fraction looks different, but it is
equal to the original fraction. Finding equivalent fractions is
used to reduce fractions, to find common denominators, and for
many other things later on in math.

are all equivalent fractions.
Reducing Fractions
This process is used to express fractions in simpler form.
Break down the numerator and denominator into their factors (e.g.
6 breaks down into 3 × 2 ). If any factors appear in both the
numerator and denominator, cancel them out.
(a pair of 2s and a pair of
3s cancel out)
Cancellation
Consider the following multiplication problem.

The answer needs to be reduced. To reduce it we would spread
out the numerator and denominator into their factors and cross
out the ones that appear in both numerator and denominator.

Notice that factoring the result undoes the work we just did
in multiplying the original numbers. We would have been better
off to reduce first and multiply only the factors that survive .
Lets do the same problem again, reducing before
multiplying:

A pair of 2s and a pair of 3s cancel out, leaving
only a 2 in the denominator.
Notice that everything in the numerator cancels out. When this
happens, what is left behind is not a 0, but rather a 1. That is
because 1 is always a hidden factor in every number.
Its not written down unless it is needed. In this problem
the numerator 2 × 3 could be thought of as 1 × 2 × 3, so when
the 2 and 3 both cancel, what is left is the 1.
Example:

Set up the problem as before, cancel the factors that appear
in both numerator and denominator (in this case only the
5s), then multiply the surviving factors.
[Warning: Do not cancel in division problems until you
have converted them to multiplication problems!!]
Start solving your Algebra Problems in 5 minutes!
| |
 |
| Stop spending your time and money on
private Algebra tutors! Download Algebra Buster now!
Algebra Buster installs on your computer and helps you learn
to solve your algebra problems fast and easy in three
simple steps... |
| |
|
Step 1: |
Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor. |
|
Step 2: |
Let Algebra Buster solve it. |
|
Step 3: |
Ask for an explanation for the steps you don't understand. |
|
| |
| That's really all there is to it! Order NOW and you will receive 30 Minutes of FREE Live Tutoring at Tutor.com! |
| |
| |
| What our customers say... |
| |
"I would like to thank the creator for preparing such a tremendous piece of software. It has made algebra simple by providing expert assistance with fractions and equations."
- Tabitha Wright, MN
|
|
|
$58.99
|
| Only: $39.99! |
This limited time offer is only good until
November 20th
|
|
|
|
| |
| |
Algebra Buster can solve problems in these areas...
 |
simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values) |
 |
factoring and expanding expressions |
 |
finding LCM and GCF |
 |
operations with complex numbers (simplifying, rationalizing complex denominators...) |
 |
solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations) |
 |
solving a system of two and three linear equations (including Cramer's rule) |
 |
graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions) |
 |
graphing general functions |
 |
operations with functions (composition, inverse, range, domain...) |
 |
simplifying logarithms |
 |
basic geometry and trigonometry (similarity, calculating trig functions, right triangle...) |
 |
arithmetic and other pre-algebra topics (ratios, proportions, measurements...) |
|
You Will Learn Algebra Better - Guaranteed!
Just take a look how incredibly simple Algebra Buster is:
Step 1
: Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:
Step 2 :
Let Algebra Buster solve it:
Step 3 : Ask for an
explanation for the steps you don't understand:
Algebra Buster can solve problems in these areas...
 |
simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values) |
 |
factoring and expanding expressions |
 |
finding LCM and GCF |
 |
operations with complex numbers (simplifying, rationalizing complex denominators...) |
 |
solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations) |
 |
solving a system of two and three linear equations (including Cramer's rule) |
 |
graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions) |
 |
graphing general functions |
 |
operations with functions (composition, inverse, range, domain...) |
 |
simplifying logarithms |
 |
basic geometry and trigonometry (similarity, calculating trig functions, right triangle...) |
 |
arithmetic and other pre-algebra topics (ratios, proportions, measurements...) |
|
$58.99
|
| Only: $39.99! |
This limited time offer is only good until
November 20th
|
|
|
|
|
|
|
Free Tutoring
- Get 30 Minutes of FREE Live Tutoring from Tutor.com if you
Testimonials
"I ordered the Algebra Buster late one night when my daughter was having problems in her honors algebra class. After we ordered your software
she was able to see step by step how to solve the problems. Algebra Buster definitely saved the day."
Tami Garleff
|