# 0.45 as a fraction

Are you looking for an answer to the question (How to express 0.45 as a fraction?) 0.45 is a recurring decimal number and you want to convert it to a fraction or a mixed number. When you say 0.45 repeats, you may mean that there are 5 or 45 repeats.
Thus, “what is the repetition of 0. 45 as a fraction?” There are two different ways to answer. Here two questions have been prepared in mathematical terms in which there is a Vinculum line over the decimal numbers which are repeating.

To convert 0. 45 to a fraction, follow these steps:
Write the first decimal number divided by 1 as follows:

\frac{0.45}{1}

Since we have 2 digits after the decimal point in the fraction, we need to multiply both the numerator and the denominator by 102 = 100 so that the numerator has no decimal point.

\frac{0.45 × 100}{1 × 100}~=~\frac{45 }{100}



Since the greatest common factor of 45 and 100 is 5, we can simplify the fraction and show the same sum

\frac{45 ÷ 5}{100 ÷ 5}~=~\frac{9}{20}

## Is .45 repeating rational or irrational?

Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers.

Also How do you write 0.4545 as a fraction? 1 Answer

1. x=0.454545..
2. multiply by 100 :
3. 100x=45.454545…
4. subtract x :
5. 99x=45.4545.. −0.4545..
6. =45.
7. divide by 99 :
8. x=4599.

Is 0.4545 a rational number?

To show that 0.4545… is rational. A rational number is any number that can be expressed as the ratio of two integers. All terminating and repeating decimals can be expressed in this way so they are irrational numbers.

How do you convert .4 to a fraction? Answer: The value of 4% as a fraction in simplest form is 1/25. Explanation: Let us convert 4% into a fraction in the simplest form. Step 1: Convert 4% to a fraction form by dividing 4 by 100.