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1.) Change 3 2/7 to improper fraction.

step 1: set up.

First, we set up the mixed number 3 2/7 with different colors, so it is easy to follow along:

[tex] \orange{3} \frac{ \red2}{ \green7} [/tex]

step 2: multiply.

Next, we multiply the whole number by the denominator.

[tex] \orange{3} \times \green{7} = 21[/tex]

step 3: add numerator.

Then, we add the numerator to the answer we got in step 2.

[tex]21 + \red2 = 23[/tex]

step 4: solution.

Finally, to get the solution, we keep the original denominator and make the numerator the answer from Step 3. Thus, 3 2/7 as an improper fraction is:

[tex] \huge \frac{23}{7} [/tex]

2.) Change 56/7 to mixed fraction.

Step 1: Find the whole number.

[tex] \frac{56}{7} = 8[/tex]

Step 2: Get the new numerator.

[tex]56 - (7 \times 8) = 0[/tex]

Step 3: Our mixed fraction.

[tex] \huge8 \frac{0}{7} [/tex]

You maybe have noticed here that our new numerator is actually 0. Since there is no remainder, we can remove the entire fraction part of this mixed number, leaving us with a final answer of:

[tex] \huge \green{8}[/tex]

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