chezmarylou1i

2021-12-17

How do you write 0.09 as a fraction?

Paineow

A fraction with 10 to a power in the denominator can be used to express every place value after the decimal point.
The "tenths place" is the first position following the decimal point. I would have 9 tenths, or as a fraction, if I had 0.9 - $\frac{9}{10}$
The "hundredths place" is the position immediately following the decimal point. The query above requests $0.09$. This would be in fractional units of nine hundredths $\frac{9}{100}$

eskalopit

Because every decimal turns to a fraction with a denominator of 10 or a power of 10, I like dealing with decimals.
More zeros are simply added to make a power of 10.
$10,100,1000\dots$
You will notice a pattern after dealing with a couple of these examples.
To produce a fraction from the provided number, you will need as many zeros in the denominator as there are decimal places in the value.
With two decimal places, $0.09$ will give us the whole number 9 for the numerator. That means the denominator will have two zeros 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 values higher than one?
Convert $25.492$ to a fraction.
The decimal portion must be expressed as a fraction because the entire number is already 25.
Three decimal places are present and the numerator is 492.
Now, the denominator needs three zeros to equal one. $\frac{1}{1000}$
$25.492=25\frac{492}{1000}$ which simplifies to $25\frac{123}{250}$

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