Question

Find the reciprocal of 8 2/5

Answer 1

`\huge\text{Hey there!}`

`\mathsf{8 (2)/(5)}\\\\\mathsf{= (8*5+2)/(5)}\\\\\mathsf{= (40 + 2)/(5)}\\\\\mathsf{= (42)/(5)}\\\\\mathsf{=(5)/(42)}\\\\\huge\text{Therefore, the answer should be: \boxed{\mathsf{(5)/(42)}}}\huge\checkmark`

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`\frak{Amphitrite1040:)}`

Answer 2

`\huge\underline\red{Answer -}`

`\bold{8 (2)/(5) }\: \\\\ \implies \: (5 × 8 + 2)/(5) \: \\ \\ \implies \: ( 40 + 2)/(5) \\\\ \implies (42)/(5) \\\\ \rightarrow \:\boxed {reciprocal \: = (5)/(42) } \\ \\`

hope helpful ~