Fractions Operations at a Glance
Addition, Same Denominators:
PROCESS: To add or subtract fractions, you
must have the SAME DENOMINATORS. If the
denominators are already the same, simply add (or
subtract) the numerators & keep the denominator
the same in the answer. Don’t forget to reduce
your answer to lowest terms . For example:
|
Addition, Different Denominators :
PROCESS: To add fractions, with different
denominators, you must first CHANGE them to the
SAME denominators. Do this by multiplying one or
both fractions by the SAME NUMBERS, to increase its
value. Then simply add the numerators and any
whole numbers separately . Don’t forget to reduce
your answer to lowest terms . For example:
|
Subtraction, Different
Denominators: To subtract fractions with
different denominators,
first use multiplication to create equivalent
fractions with the SAME denominators. Then
subtract the numerators first . Subtract any whole
numbers second. Keep the denominator he same
and simplify the answer.
|
Subtraction with Borrowing
Sometimes when subtracting you may find you don’t
have enough value in the top fraction’s numerator to
do the subtraction. When this happens we borrow
from the whole number, adding the borrowed whole
number to the existing fraction to increase its value.
whole number, it is written as fraction with the same
numerator/same denominator (one whole). This
whole is then ADDED to the existing fraction to
combine the two into a new , improper fraction, which
we then use for subtracting.
|
Multiplication of Fractions:
When multiplying fractions, IT DOES NOT MATTER
whether the denominators are the same or different!
However, you cannot multiply mixed numbers – you must change them to
improper fractions. Also, you can
sometimes use the process called cancellation before multiplying. Using
cancellation can save you from having
to simplify your answer. To use cancellation, before multiplying, FACTOR
all numbers to prime & rewrite the
problem. Now cancel any “ common factors ” shared in ANY numerator with
ANY denominator. Multiply any
remaining factors to finish and simply your final answer.
|
Division of Fractions :
To divide fractions you must first change any whole
or mixed numbers to improper fractions. Then invert (or
flip) EVERY fraction that directly follows a division sign . You should
then factor each numerator & denominator to
prime so you can cancel common factors. Multiply any factors that remain
and simplify your answer.
|
Start solving your Algebra Problems
in next 5 minutes!
|
|
|
|
Algebra Helper
Download (and optional CD)
Only $39.99
|
Click to Buy Now:
OR
|
|
|
|
|
|
2Checkout.com is an authorized reseller
of goods provided by Sofmath
|
|
Attention: We are
currently running a special promotional offer
for Algebra-Answer.com visitors -- if you order
Algebra Helper by midnight of
November 21st
you will pay only $39.99
instead of our regular price of $74.99 -- this is $35 in
savings ! In order to take advantage of this
offer, you need to order by clicking on one of
the buttons on the left, not through our regular
order page.
If you order now you will also receive 30 minute live session from tutor.com for a 1$!
|
You Will Learn Algebra Better - Guaranteed!
Just take a look how incredibly simple Algebra Helper is:
Step 1
: Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:
Step 2 :
Let Algebra Helper solve it:
Step 3 : Ask for an explanation for the steps you don't understand:
Algebra Helper can solve problems in all the following 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
-
(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...)
ORDER NOW!
|
|
|
|
Algebra Helper
Download (and optional CD)
Only $39.99
|
Click to Buy Now:
OR
|
|
|
|
|
|
2Checkout.com is an authorized reseller
of goods provided by Sofmath
|
|
|
|
|
"It
really helped me with my homework. I was
stuck on some problems and your software walked me
step by step through the process..." |
C. Sievert, KY
| |
|
|
|
Sofmath
19179 Blanco #105-234 San Antonio, TX 78258
|
Phone:
(512) 788-5675 Fax: (512) 519-1805
| | |