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