Questions on fractions, numbers of the form $p/q$ where $p$ and $q$ are integers, and $q$ is not zero.
1
vote
3answers
50 views
when the numerator is less than the denominator
when the numerator is less than the denominator the result is always between 0 and 1?
for example if I have a number like
x/y where x<y then the result will be ...
0
votes
1answer
46 views
how to solve this math problem for homework [closed]
the fifth graders vote to determine where they want to go on a field trip. one-third of fifthe graders want to go bowling. two-sixths of the fifth graders want to goto the zoo. one-sixth of the ...
2
votes
2answers
27 views
Fraction question
Alvin and Bob had a total of 60 marbles. Alvin gave 1/4 of his marbles to Bob. Bob then gave 1/3 of the total number of marbles he had to Alvin. In the end, each of them had the same number of ...
2
votes
2answers
32 views
Simple fractions question
Mary and Henry shared a collection of stamps. Mary had 7/10 of the total number of stamps. If Mary gave 38 stamps to Henry, she will have thrice the number of stamps Henry have. How many stamps did ...
2
votes
4answers
32 views
Dividing and multiplying surds - Rule
What rule/process allows me to take this equation:
$$6x^{2} \cdot \sqrt{\frac{y}{x}}$$
And simplify it to become:
$$6x \cdot \sqrt{xy}$$
1
vote
1answer
25 views
Recurring decimals to fraction
$.\overline{36}=\frac{36}{99}$
$2.1\overline{36}=2\frac3{22}$
The part I do not understand however, is "you could used 1) to speed up the working of 2)" which is written in the book.
How would ...
1
vote
2answers
89 views
How to prove the fraction identity without using calculator
How to prove without calculator that
$$ \frac{1}{1001} + \frac{1}{3001} > \frac{1}{1000}$$
8
votes
16answers
1k views
Why is $\;n^2-\frac{n^2}{2} =\frac{n^2}{2}\;$? [closed]
Could someone please expand on how to get from $\;\displaystyle\left( n^2-\frac{n^2}{2}\right)\;$ to $\;\left(\dfrac{n^2}{2}\right)\;?\;$
I can't seem to wrap my head around that.
3
votes
2answers
31 views
To split in to partial fractions, the expression $\frac{1}{x^2(x+a)^2}$
To split in to partial fractions, the expression $\frac{1}{x^2(x+a)^2}$
$\frac{1}{x^2(x+a)^2}=\frac{A}{x}+\frac{B}{x^2}+\frac{C}{(x+a)}+\frac{D}{(x+a)^2}$
One method of finding the values of the ...
2
votes
1answer
27 views
length of period
Each rational number (fraction) can be written as decimal periodic number. Does exists a method or hint that show how long will be the period of arbitrary fraction. For example $1/3=0.3333...=0.(3)$ ...
3
votes
1answer
39 views
$S^{-1}B$ and $T^{-1}B$ isomorphic for $T=f(S)$
Let $f:A\to B$ be a homomorphism of rings, $S$ be a multiplicatively closed subset of $A$ and $T=f(S)$. Then $S^{-1}B$ and $T^{-1}B$ are isomorphic as $S^{-1}A$-modules.
First we define the ...
1
vote
2answers
47 views
How can be done by the method of mathematical induction?
We are given that $P(x+1)-P(x)=2x+1$
We also know that $P(0)=1$
We want to prove that $P(2004)=(2004)^2 +1$
Can someone explain how can be solved with mathematical induction?
Thank you in advance!
5
votes
2answers
46 views
Find non-repeating decimal between two fractions
I have two fractions which, when evaluated, may or may not be non-terminating (they go on forever). They're both between 1 and 0.
I need to find the shortest decimal number that lies between these ...
0
votes
2answers
43 views
When is a fraction simplified?
When is a fraction simplified?
"A fraction is simplified if the numerator and denominator do not have any common factors other than 1."
This is what I read on this website: ...
0
votes
2answers
63 views
Check my answers to these problems on rationalizing denominators? [closed]
I just need to check my answers for these problems. I did the work already on paper. I'm not trying to get free answers because I know that would hurt me in the long run. So here's the questions:
...
