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Mathematics 23 Online
OpenStudy (kobeni-chan):

Simplified form of...?

OpenStudy (kobeni-chan):

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OpenStudy (kobeni-chan):

the things on top are 1's lol will medal!

OpenStudy (michele_laino):

please note that: \[\frac{ 1 }{ b }+\frac{ 1 }{ a }=\frac{ a*1+b *1}{ ab }=\frac{ a+b }{ ab }\] since the least common multiple is ab

OpenStudy (michele_laino):

and: \[\frac{ 1 }{ b }-\frac{ 1 }{ a }=\frac{ a*1-b*1 }{ ab }=\frac{ a-b }{ ab }\] since the least common multiple is ab again so your expression is equal to: \[\frac{ \frac{ a-b }{ ab } }{ \frac{ a+b }{ ab } }=\frac{ a-b }{ ab}*\frac{ ab }{ a+b }=...\] namely the first fraction times the inverse of the second fraction

OpenStudy (kobeni-chan):

so when I apply that to the denominator, would it be a+b/a-b?

OpenStudy (michele_laino):

no, sorry! please retry!

OpenStudy (michele_laino):

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