chezmarylou1i

2021-12-17

How do you write 0.09 as a fraction?

Paineow

Beginner2021-12-18Added 30 answers

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

Beginner2021-12-19Added 31 answers

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 $1085{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}there\text{}four\text{}zeros\text{}to\text{}give\text{}\frac{1}{10000}$

$0.1085=\frac{1085}{10000}$ 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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