Susan asks…
When dividing complex fractions with the same denominator, how do you go about doing it?
I know when you divide complex fractions with different denominators you have to find an LCD, but I'm not sure about ones with the same denominator. The problem is:
24
___
x-3
_______
36
___
x-3
The problem in words is 24 divided by (x-3), divided by 36 divided by (x-3)
Thanks guys, all your answers helped a lot.
admin answers:
(24/x-3) / (36/x-3)
*Rule - you can't divide fractions...
First: you have to multiply the 1st fraction with the reciprocal of the 2nd fraction >>> (x-3)/36 >>> flip the 2nd fraction.
(24/x-3) * (x-3/36)
SEc: cross cancel the same terms & combine the rest.
(24/1) * (1/36)
24/36
Third: simplify the fraction into lowest terms...
24/36 = 2/3
Daniel asks…
how do i divide radicals with different index if they're written in equations?
so i'm trying to solve this math problem which is in a fraction form...(its saying that i should divide it)
for the numerator.. there are 3 terms which are all radicals with different index
and for the denominator it has 1 term which has a different index also..
thank you for the help.. =)
admin answers:
It would help if you actually gave the problem.
But, the best way to go about would be to split all numbers into their prime factors. That way, you will be able to cancel out common terms in the numerator and denominator. Cancel as many terms as possible, the rest is your answer.
Jenny asks…
I need to learn fractions really badly, do you know any sites to explain?
Okay I need to know how to multiply,divide,add,subtract, you know all that. Not with the shapes though.
For example 4/9+6/32=? stuff like that no shapes and different denominators. Videos, sites, free tutors online anything will work. Just something that will thoroughly explain in SIMPLE TERMS. Thanks!
admin answers:
If you visit http://www.gcflearnfree.org/fractions there are tutorials for how to read and write fractions and how to work with common denominators, reducing and improper fractions. It's free and they use videos and interactives to help you learn.
Maria asks…
Dividing a fraction by a whole number in a word problem.?
my son has to show his work for his 5th grade math word problems. I have come up with the answer and can show him how to do it but I don't understand why the process is different and I would like to explain to him the difference.
The math problem says that out of 96 singers 3/8 of them are tenors. How many are tenors?
The answer is 36 according to his math book.- which is correct of course. To get to the answer I simply divided 96 by 8 and multiplied it by 3 which gives me 36.
BUT- in other sections of his math book it tells him to use the reciprocal method to find the answer for dividing a whole number by a fraction.
When should he simply divide the denominator into the whole number and then multiply it by the numerator versus using the reciprocal method (ie flip the fraction and multiply instead of divide by the whole number) to divide a whole number by a fraction?
What is the difference and any suggestions for explaining this to a 5th grader
admin answers:
In this case you are not dividing by a fraction, you are multiplying:
(3/8) * 96 = (3/8) * (96/1) = (3*96) / (8*1)
The reciprocal method would apply is you had this kind of problem:
96 / (3/8) = 96 * (8/3)
=====================
The first answer is very good - too many kids don't understand ratios. (but it doesn't really answer your question)
Sandra asks…
Please could someone help me with this math question?
I'm not asking you to do the work for me, but could someone give me a few pointers as to how to approach this question?
"Delia is cooking. She has a 1 1/2 KG bag of flour and needs 3/8 of it in a recipe. What fraction of a kilogram does she need and what is this in grams?"
Fraid to say I'm completely bewildered as to what I'm meant to do on this. Do I have to make them have common denominators and divide? Or is it completely different? Thanks for any help in advance.
admin answers:
It's actually very easy. To find a fraction OF a fraction, just multiply the fraction by the fraction! :)
Do this : 3/8 X 1 1/2
To multiply, you have to make all the fractions improper..
So 3/8 is ok, and for 1 1/2:
1 X 2 + 1 = 3
Leave the denominator as is (2) so 1 1/2 becomes 3/2
now do 3/8 X 3/2
Once you get the product, that is KG and convert it to G. (multiply product by 1000 and you can just leave the denominators as is and simplify later)
No, you do not need to make common denominators to divide. You need to make it improper fractions though, and hope you understood what I meant before.
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