Respuesta :

Answer:

Mixed fraction answer 2 1/20 and fraction answer is 41/20

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Equation:}[/tex]

[tex]\mathsf{\dfrac{1}{4}\times 8\dfrac{1}{5}}[/tex]

[tex]\huge\textsf{Simplifying:}[/tex]

[tex]\mathsf{\dfrac{1}{4}\times 8\dfrac{1}{5}}[/tex]

[tex]\mathsf{= \dfrac{1}{4} \times \dfrac{8\times5 + 1}{5}}[/tex]

[tex]\mathsf{= \dfrac{1}{4} \times \dfrac{40 + 1}{5}}[/tex]

[tex]\mathsf{= \dfrac{1}{4} \times \dfrac{41}{5}}[/tex]

[tex]\mathsf{= \dfrac{1\times41}{4\times5}}[/tex]

[tex]\mathsf{= \dfrac{41}{20}}[/tex]

[tex]\mathsf{= 2 \dfrac{1}{20}}[/tex]

[tex]\huge\textsf{Therefore, your answer should most likely be:}[/tex]

[tex]\huge\boxed{\frak{2\dfrac{1}{20}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]