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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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 910
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 9100

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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
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 1100
0.09=9100
Try also converting 0.1085 to a fraction.
Numerator is 1085andthere four zeros to give 110000
0.1085=108510000 which simplifies to 2172000
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 11000
25.492=254921000 which simplifies to 25123250

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