Respuesta :
Answer:
8/41
Step-by-step explanation:
I will have to assume that you meant: "find the reciprocal of 5 1/8."
Converting 5 1/8 into an improper fraction, we get 41/8.
The reciprocal of 41/8 is 8/41.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Question reads....}[/tex]
[tex]\textsf{Find the reciprocal of }\mathsf{5 \dfrac{1}{8}}[/tex]
[tex]\huge\textsf{Simplifying:}[/tex]
[tex]\mathsf{5 \dfrac{1}{8}}[/tex]
[tex]\mathsf{= \dfrac{5\times8+1}{8}}[/tex]
[tex]\mathsf{= \dfrac{40 + 1}{8}}[/tex]
[tex]\mathsf{= \dfrac{41}{8}}[/tex]
[tex]\mathsf{\rightarrow \dfrac{8}{41}}[/tex]
[tex]\huge\textsf{Therefore, your answer should most likely be:}[/tex]
[tex]\huge\boxed{\frak{\dfrac{8}{41}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]