# How do you write 0.09 as a fraction?

chezmarylou1i 2021-12-17 Answered
How do you write 0.09 as a fraction?
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## Expert Answer

Paineow
Answered 2021-12-18 Author has 30 answers
Every place value after the decimal point can be expressed as a fraction with 10 to some power in the denominator.
The first place after the decimal point is called the "tenths place" If I had 0.9, I would have 9 tenths, or as a fraction $\frac{9}{10}$
The second place after the decimal is called the "hundredths place". The question above asks for $0.09$. This would be 9 hundredths, or as a fraction $\frac{9}{100}$

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eskalopit
Answered 2021-12-19 Author has 31 answers

I enjoy working with decimals because every one converts to a fraction that has a denominator of 10 or a power of 10.
Powers of 10 simply means adding more zeros.
$10,100,1000\dots$
After working with a few of these examples you will see a trend.
Every time you have another decimal place in a decimal number, then you will need that many zeros in the denominator to create a fraction from the given number.
So $0.09$ will give us a whole number of 9 for the numerator and there are two decimal places. That indicates there will be two zeros in the denominator to give $\frac{1}{100}$
$0.09=\frac{9}{100}$
Try also converting $0.1085$ to a fraction.
Numerator is
$0.1085=\frac{1085}{10000}$ which simplifies to $\frac{217}{2000}$
What about decimal numbers greater than 1?
Convert $25.492$ to a fraction.
The whole number is already 25, the decimal part needs to be written as a fraction
Numerator is 492 and there are three decimal places.
Denominator now needs three zeros to give $\frac{1}{1000}$
$25.492=25\frac{492}{1000}$ which simplifies to $25\frac{123}{250}$

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