Respuesta :

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction. Then use KCF method

Keep the first fraction.

Change the division operation to multiplication.

Flip the second fraction

[tex]5\frac{1}{5}=\frac{26}{5}[/tex]

[tex]5\frac{1}{5}[/tex] ÷ [tex]\frac{1}{4}[/tex]  = [tex]\frac{26}{5}[/tex] ÷ [tex]\frac{1}{4}[/tex]

          [tex]= \frac{26}{5}*\frac{4}{1}\\\\= \frac{26*4}{5}\\\\=\frac{104}{5}\\\\=20\frac{4}{5}[/tex]

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

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

[tex]\mathsf{=\dfrac{26}{5}\div\dfrac{1}{4}}[/tex]

[tex]\mathsf{=\dfrac{26\times4}{5\times1}}[/tex]

[tex]\mathsf{26\times 4 = \boxed{\bf 104}}[/tex]

[tex]\mathsf{5 \times1 = \boxed{\bf 5}}[/tex]

[tex]\mathsf{=\dfrac{104}{5}}[/tex]

[tex]\mathsf{=20\dfrac{4}{5}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf \dfrac{104}{5}\ or\ 20\dfrac{4}{5}}}} \huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

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

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