Question

How do you find the reciprocal of \[3{3}{4}\]?

Answer 1

Hint: First convert the mixed fraction into improper or proper fraction depending on the fraction that is \[a{b}{c}={\left( a\times c \right)+b}{c}\].
Reciprocal of any number is the exchange of the numerator and denominator that is
reciprocal of \[x={1}{x}\] when nothing is there in the denominator then its \[1\] here.

Complete step by step solution:
Now converting the given mixed fraction into proper or improper fraction:
On comparing with this by the above formula
\[a=3,b=3,c=4\]
Now applying it
\[\Rightarrow {\left( 3\times 3 \right)+4}{4}\]
\[\Rightarrow {13}{4}\]
Now reciprocal of this number \[{13}{4}\] is just exchange of the numerator and denominator
\[\Rightarrow {4}{13}\]

Hence, the reciprocal of the given number in this question is \[{4}{13}\].

Note: These questions are very easy. First, we just need to convert a mixed fraction into a proper or improper fraction, if already given in proper or improper fractions then just reciprocating the number means just exchanging the numerator and denominator.