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Mathematics 17 Online
OpenStudy (anonymous):

*** I will give you a medal if you help/answer this *** Simply the complex fraction. (4)/(x+3)/[(1/x)+3)]

OpenStudy (anonymous):

the divided linese are under the numbers... they are not actual division signs.

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

1/x + 3 1/x + 3/1 1/x + 3x/x (1+3x)/x

jimthompson5910 (jim_thompson5910):

so (1/x)+3 is the same as (1+3x)/x

OpenStudy (anonymous):

okayy.

jimthompson5910 (jim_thompson5910):

making (4)/(x+3)/[(1/x)+3)] the same as (4)/(x+3)/[(1+3x)/x]

jimthompson5910 (jim_thompson5910):

to divide the two fractions, you flip the second fraction and you multiply to get this [ (4)/(x+3) ] * [ x/(1+3x) ]

jimthompson5910 (jim_thompson5910):

do you see what to do from here?

OpenStudy (anonymous):

yeahh.. but the division sign under the four.. isnt actually diving the 4.. its a big line like this l but flipped the other way.. and is bigger than a division symbol.

jimthompson5910 (jim_thompson5910):

can you draw out what you're describing?

OpenStudy (anonymous):

yes. |dw:1359785516392:dw|

jimthompson5910 (jim_thompson5910):

ok so basically you have the fraction 4/(x+3) and that's over the expression (1/x) + 3 right?

OpenStudy (anonymous):

so it looks like.. i drew it just like it is asked to me.

jimthompson5910 (jim_thompson5910):

so that would mean that this |dw:1359785674827:dw|

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