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Answer:

The product is [tex]12\frac{3}{5}[/tex]

Step-by-step explanation:

Start with:

[tex](3)(4\frac{1}{5} )[/tex]

[tex]4\frac{1}{5}[/tex] is the same as [tex]4+\frac{1}{5}[/tex] .

Let's rewrite:

[tex](3)(4+\frac{1}{5})[/tex]

Distribute [tex]3[/tex] in to [tex]4[/tex]:

[tex](3)(4)=12[/tex]

And [tex]3[/tex] distributed in to [tex]\frac{1}{5}[/tex] is the same as [tex]\frac{3}{1}[/tex] × [tex]\frac{1}{5}[/tex]

Multiply.

[tex]\frac{3}{1}[/tex] × [tex]\frac{1}{5} =\frac{3}{5}[/tex]

Now let's add our new whole number and fraction.

[tex]12+\frac{3}{5}[/tex]

And we've already established that the expression above is how we can rewrite a mixed number, so let's make it a mixed number by adding.

[tex]12\frac{3}{5}[/tex]

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