# How do you write 0.09 as a fraction?

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Every place value after the decimal point can be expressed as a fraction with

The first place after the decimal point is called the "tenths place" If I had

The second place after the decimal is called the "hundredths place". The question above asks for

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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.

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

Try also converting

Numerator is

Denominator now needs four zeros to give

What about decimal numbers greater than 1?

Convert

The whole number is already

Numerator is

Denominator now needs three zeros to give

Note that this can also be written as

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