Mathematics
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OpenStudy (anonymous):
write as a single question
3+x/5
tell me im not as dumb as i feel
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OpenStudy (lgbasallote):
you're not as dumb as you feel
jimthompson5910 (jim_thompson5910):
The question is \[\Large 3+\frac{x}{5}\] correct?
OpenStudy (anonymous):
hahaha nice thanks. not what i meant though xD
OpenStudy (anonymous):
and yeah jim thats the question. im supposed to write it as a single fraction
jimthompson5910 (jim_thompson5910):
alright, you can write 3 as 3/1
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jimthompson5910 (jim_thompson5910):
What can you multiply that '1' by to get it to the LCD 5 ?
OpenStudy (anonymous):
5? right?
jimthompson5910 (jim_thompson5910):
yes, so do the same to the numerator as well to balance things out
OpenStudy (anonymous):
so itd be 15/5?
jimthompson5910 (jim_thompson5910):
exactly
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OpenStudy (anonymous):
so when i add the two fractions it should be 15x/5?
jimthompson5910 (jim_thompson5910):
so
\[\Large 3+\frac{x}{5}\]
becomes
\[\Large \frac{15}{5}+\frac{x}{5}\]
jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
From here, just add the numerators and place that over the common denominator
OpenStudy (anonymous):
so would it be 15+x/5?
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jimthompson5910 (jim_thompson5910):
yes
\[\Large \frac{15+x}{5}\]
jimthompson5910 (jim_thompson5910):
type (15+x)/5 to mean \[\Large \frac{15+x}{5}\]
OpenStudy (anonymous):
aaaaaaahhhhh yeah. i love this site :D
jimthompson5910 (jim_thompson5910):
here's the full step by step picture of what's happening
\[\Large 3+\frac{x}{5}\]
\[\Large \frac{3}{1}+\frac{x}{5}\]
\[\Large \left(\frac{3}{1}\right)\left(\frac{5}{5} \right )+\frac{x}{5}\]
\[\Large \frac{3 \times 5}{1\times 5}+\frac{x}{5}\]
\[\Large \frac{15}{5}+\frac{x}{5}\]
\[\Large \frac{15+x}{5}\]
-----------------------------
So
\[\Large 3+\frac{x}{5}\]
simplifies to
\[\Large \frac{15+x}{5}\]
OpenStudy (anonymous):
thanks :D
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jimthompson5910 (jim_thompson5910):
That's just for reference
jimthompson5910 (jim_thompson5910):
you're welcome
OpenStudy (anonymous):
what if the variable is the denominator? like 1+3/x
jimthompson5910 (jim_thompson5910):
You do the same
1 = 1/1
then multiply both top and bottom by the LCD 'x'
jimthompson5910 (jim_thompson5910):
so
\[\Large 1+\frac{3}{x}\]
\[\Large \frac{1}{1}+\frac{3}{x}\]
\[\Large \frac{x}{x}+\frac{3}{x}\]
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OpenStudy (anonymous):
so x+3/x?
jimthompson5910 (jim_thompson5910):
type (x+3)/x to signify that all of "x+3" is over the 'x', but yes, it's
\[\Large \frac{x+3}{x}\]
OpenStudy (anonymous):
oh ok. and thanks again
jimthompson5910 (jim_thompson5910):
keep in mind
x+3/x means \[\Large x+\frac{3}{x}\]
------------------
while
(x+3)/x means \[\Large \frac{x+3}{x}\]
OpenStudy (anonymous):
would 3+(x-2)/2 equate to (x+4)/2
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jimthompson5910 (jim_thompson5910):
that is 100% correct
jimthompson5910 (jim_thompson5910):
nice work
OpenStudy (anonymous):
yes thank you. you explain it a lot better than my teachers xD
jimthompson5910 (jim_thompson5910):
I'm glad to hear that lol
jimthompson5910 (jim_thompson5910):
you're welcome