Answer:
Hence, the reciprocal of the fraction is \(\dfrac{31}{26}\).
Step-by-step explanation:
A division problem is shown below.
\(4\frac{1}{3}\) is divided by \(5\frac{1}{6}\)
The mixed number \(4\frac{1}{3}\) could be represented in fraction as:
\(\dfrac{13}{3}\)
Also The mixed number \(5\frac{1}{6}\) could be represented in fraction as:
\(\dfrac{31}{6}\)
That means \(\dfrac{13}{3}\) is divided by \(\dfrac{31}{6}\)
\(\dfrac{\dfrac{13}{3}}{\dfrac{31}6}}=\dfrac{26}{31}\)
Hence, the reciprocal of the fraction is \(\dfrac{31}{26}\).
