Respuesta :

a rational number is a number that can be expressed as a fraction (a/b) where a and b are integers and b is not equal to 0 (because you cannot divide by 0).

.35 can also be written as 35/100. 35 and 100 are both integers, and 100 is not equal to 0. so, by definition, .35 is rational.

A number is said to be rational if it can be expressed as a fraction of two integers.

0.35 is a rational number

Let the number be n.

So, we have:

[tex]n = 0.35[/tex]

Express as a fraction with a denominator of 1

[tex]n = \frac{0.35}{1}[/tex]

Multiply the fraction by 100/100

[tex]n = \frac{0.35 \times 100}{1 \times 100}[/tex]

[tex]n = \frac{35}{100}[/tex]

Reduce the fraction to the lowest

[tex]n = \frac{7}{20}[/tex]

7 and 20 are integers.

This means that 0.35 is rational.

Read more about rational and irrational numbers at:

https://brainly.com/question/15837135