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Answer:

[tex]\frac{1}{3}[/tex]

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Step-by-step explanation:

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The quotient of [tex]2\frac{1}{5}[/tex] divided by [tex]6\frac{3}{5}[/tex] in simplest form is [tex]\frac{1}{3}[/tex]

To determine the quotient of 2 1/5 divided by 6 3/5 in simplest form,

First we will write the given fractions properly

That is, [tex]2\frac{1}{5}[/tex] divided by [tex]6\frac{3}{5}[/tex]

Now, we will carry out the division operation

First, express the fractions in their improper form

[tex]2\frac{1}{5} \div 6\frac{3}{5} =\frac{11}{5} \div\frac{33}{5}[/tex]

Then,

[tex]\frac{11}{5} \div\frac{33}{5}= \frac{11}{5} \times \frac{5}{33}[/tex]

[tex]=\frac{11}{33}[/tex]

[tex]=\frac{1}{3}[/tex] (in its simplest form)

Hence, the quotient of [tex]2\frac{1}{5}[/tex] divided by [tex]6\frac{3}{5}[/tex] in simplest form is [tex]\frac{1}{3}[/tex]

Learn more here:  https://brainly.com/question/15166322

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