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What is 0.3 in fraction form in its simplest form?

 Jan 31, 2023
 #1
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It is 1/3.

 Jan 31, 2023
 #2
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Thank you so much for your help!

Ds1234  Jan 31, 2023
 #3
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If it's just 0.3, it's 3/10, as the 3 is simply moved after the decimal point once.

 

However, if youre talking about 0.3333... (3 repeats forever), then it's 1/3, and we can use math to prove it. Each time you divide 3 into 1, it's impossible, so you always borrow a 0 from the next decimal place. That always returns 1, and we can see that it becomes recursive. Therefore, we are left with a repeating decimal, which is represented in a fraction as 1/3.

 Jan 31, 2023

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