Answer:
D. Patel found the incorrect quotient and checked his work using multiplication incorrectly.
Step-by-step explanation:
The dividend is [tex]8,[/tex] the divisor is [tex]\dfrac{1}{6}.[/tex] Divide the dividend by the divisor (division by fraction means multiplication by its reciprocal):
[tex]8\div \dfrac{1}{6}=8\times \dfrac{6}{1}=8\times 6=48,[/tex]
so the quotient is 48, not [tex]\dfrac{1}{48}.[/tex]
To check the answer, Patel has to multiply the quotient by the divisor to get the dividend. Check answer:
[tex]48\times \dfrac{1}{6}=\dfrac{48}{6}=8[/tex]
Hence, Patel found the incorrect quotient and checked his work using multiplication incorrectly.
