Question

find the value of x
\[\frac{ 1 }{ \frac{ 4 }{ 5 } } + \frac{ 1 }{ x } = \frac{ 1 }{ \frac{ 2 }{ 3 } }\]

Answer 1

When dividing \[\frac{ 1 }{ \frac{ 1 }{ 2 } }\] the answer is 2, trying getting away from the complex fractions and then solve for x

Answer 2

invert first\[\frac{ 5 }{ 4 }+x=\frac{ 3 }{ 2 }\]

Answer 3

no - don't invert the 1/x

Answer 4

It doesn't work for the 2nd term \[\frac{ 1 }{ x }\neq x\]

Answer 5

\[\frac{ 1 }{ \frac{ a }{ b } }=\frac{ b }{ a }\]

Answer 6

oops sorry

Answer 7

lol - dont worry

Answer 8

swept away with inverting

Answer 9

It's fun to do! Looks alot nicer than 1/x, but we just can't do it...

Answer 10

im atill stuck with what everybody has said lol

Answer 11

If you divide by a fraction all you do is flip it upside down and multiply by it. So:
\[\frac{1}{\frac{4}{5}}=1\times\frac{5}{4}=\frac{5}{4}\]
Same with \(\frac{1}{\frac{2}{3}}=1\times\frac{3}{2}=\frac{3}{2}\)
So using this we have:
\[\frac{5}{4}+\frac{1}{x}=\frac{3}{2}\]
Now multiply both sides of the equation by x to get:
\[\frac{5}{4}x+1=\frac{3}{2}x\]
Combine the \(x\) terms on the right hand side (subtract \(\frac{5}{4}x\) from both sides):
\[1=\frac{1}{4}x\]
Now multiply both sides by 4 to get:
\[4=x\]
Do you follow that, or can I explain any of it better?

Answer 12

yes thats great thank you so much