The reciprocal of \(\sf\Large\frac{a}{b}\) is \(\sf\Large\frac{b}{a}\)
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OpenStudy (rebeccapink6398):
so like 11/12 would be 12/11?
TheSmartOne (thesmartone):
The reciprocal of \(\sf x\) is \(\sf\Large\frac{1}{x}\)
Why? Because \(\sf\Large x=\frac{x}{1}\)
And using what I wrote above, you would get that.
TheSmartOne (thesmartone):
Correct! :D
TheSmartOne (thesmartone):
11/12 and 12/11 are reciprocals. (:
OpenStudy (rebeccapink6398):
what about that one its a mixed fraction
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TheSmartOne (thesmartone):
And also do note that when you multiple reciprocals together, you should get 1
So we know that \(\sf\Large\frac{a}{b}\) and \(\sf\Large\frac{b}{a}\) are reciprocals, so then
\(\sf\Large\frac{a}{b}\times\frac{b}{a}=1\)
TheSmartOne (thesmartone):
Make the mixed number into an improper fraction and then do the reciprocal of that. And if needed then you can make it back in to a mixed fraction. :)