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Mathematics 24 Online
OpenStudy (anonymous):

simplify

OpenStudy (anonymous):

make (something) simpler or easier to do or understand.

OpenStudy (anonymous):

|dw:1415931877899:dw|

OpenStudy (anonymous):

What do you want us to simplify type please

OpenStudy (ahsome):

\[\frac{6-\frac{1}{x}}{\frac{4}{3x}}\] Right?

OpenStudy (anonymous):

yes

OpenStudy (ahsome):

\[\frac{6-\frac{1}{x}}{\frac{4}{3x}}\] IS eqaul to: \[(6-\frac{1}{x})/\frac{4}{3x}\] THAT is also equal to: \[(\frac{6}{1}-\frac{1}{x})/\frac{4}{3x}\] WHICH is ALSO equal to \[(6-\frac{1}{x})*\frac{3x}{4}\]

OpenStudy (ahsome):

Go from there

OpenStudy (anonymous):

@Ahsome im not sure what to do with the parenthesis

OpenStudy (ahsome):

Hmm...

OpenStudy (anonymous):

\[\frac{6-\frac{1}{x}}{\frac{4}{3x}}\times \frac{3x}{3x}\] is a start multiply to clear the compound fraction, cancelling merrily as you go

OpenStudy (ahsome):

\[(\frac{6}{1}*\frac{3x}{4}-\frac{1}{x}*\frac{3x}{4})\]

OpenStudy (ahsome):

\[(\frac{18x}{4}-\frac{3x}{4x})\]

OpenStudy (ahsome):

Cross out the \(x\) and simplify the numbers \[\frac{9}{4}-\frac{3x}{2}\]

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