Respuesta :

The given expression is

[tex]3\frac{2}{5}\colon\frac{17}{10}[/tex]

First, we transform the mixed number into a fraction.

[tex]3\frac{2}{5}=\frac{3\cdot5+2}{5}=\frac{15+2}{5}=\frac{17}{5}[/tex]

Then, we use this fraction.

[tex]\frac{17}{5}\colon\frac{17}{10}[/tex]

Now, we flip the fraction 17/10 to transform the operation into a product.

[tex]\frac{17}{5}\cdot\frac{10}{17}=\frac{10}{5}=2[/tex]

Hence, the answer is 2.

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