Answer:
[tex]\frac{4}{11}[/tex]
Step-by-step explanation:
The reciprocal of a number n is [tex]\frac{1}{n}[/tex]
Given
2 [tex]\frac{3}{4}[/tex] ← convert to an improper fraction
= [tex]\frac{11}{4}[/tex]
Reciprocal is [tex]\frac{1}{\frac{11}{4} }[/tex] = [tex]\frac{4}{11}[/tex]