Respuesta :

Answer:

3 and 1/100

Step-by-step explanation:

The mixed number is 3 1/90.

What is rational number?

Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

The word 'rational' originated from the word 'ratio'. So, rational numbers are well related to the concept of fractions which represent ratios. In other words, If a number can be expressed as a fraction where both the numerator and the denominator are integers, the number is a rational number.

Given:

3.01

So,

3.011111..

= 3 + 0.0111111...

= 3 + 1/(100 - 10)

= 3 + 1/90

= 3 1/90

Hence, the mixed number is 3 1/90.

Learn more about rational number here:

https://brainly.com/question/17450097

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