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Verified Answer :

mixed:5 1/10

improper fraction: 51/10

Answer:

The answer is \(5\frac{1}{10}\) and \(\frac{51}{10}\).

Step-by-step explanation:

First we have to understand that a mixed number is a number represent by an integer and a fractional form, this is:

Integer part: \(5\)

Fractional part: \(0.1=\frac{1}{10}\)

Putting it together we have:

\(5\frac{1}{10}\)

Now for the improper fraction, we have that this kind of fractions represent a number in a fractional form were the numerator is higher than the denominator. For this we can represent the number by to fractions and then add them:

Fractional part 1: \(5=\frac{50}{10}\)

Fractional part 2: \(0.1=\frac{1}{10}\)

Improper fraction: \(\frac{50}{10}+\frac{1}{10}=\frac{51}{10}\)

The answer is \(5\frac{1}{10}\) and \(\frac{51}{10}\).