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Mathematics 18 Online
OpenStudy (anonymous):

What is the simplified form of ?

OpenStudy (anonymous):

@Michele_Laino

OpenStudy (anonymous):

hold please<3

OpenStudy (michele_laino):

ok!

OpenStudy (anonymous):

|dw:1437504225310:dw|

OpenStudy (michele_laino):

the common denominator of these 2 fractions: 1/x and 1/y is xy

OpenStudy (anonymous):

i see

OpenStudy (michele_laino):

we can rewrite your numerator as follows: \[\frac{1}{y} - \frac{1}{x} = \frac{{x - y}}{{xy}}\]

OpenStudy (anonymous):

Okay:)

OpenStudy (michele_laino):

similarly, we have: \[\large \frac{1}{y} + \frac{1}{x} = \frac{{...}}{{xy}}\] please complete

OpenStudy (anonymous):

2 at the top

OpenStudy (michele_laino):

what is \[\frac{{xy}}{y}\]

OpenStudy (anonymous):

x

OpenStudy (michele_laino):

perfect, so we have: \[\frac{1}{y} + \frac{1}{x} = \frac{{x \cdot 1 + ...}}{{xy}}\]

OpenStudy (anonymous):

2?

OpenStudy (michele_laino):

now, what is: \[\frac{{xy}}{x}\]

OpenStudy (anonymous):

y

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