What is [tex]$0.3$[/tex] repeating as a fraction in simplest form?

.3 is 1/3 as a fraction.

Answered by ssheumaker | 2024-06-10

The repeating decimal 0.3 is equivalent to the fraction 3 1 ​
How to solve this?
Let x = 0.3 (repeating).
To eliminate the **repeating part **we can multiply both sides of the equation by 10:
10x = 3.3
Subtracting the original equation from the equation we have after we multiplied by 10:
10x - x = 3.3 - 0.3
= 9x = 3.
Now dividing both sides of the equation by 9 gives:
x = 3/9.
To further simplify the fraction we divide both the numerator and denominator by their divisor, which is 3:
x = 9/3 ( 3/3 ) ​ = 3 1 ​
Therefore we conclude that the repeating decimal 0.3 is equivalent to the fraction 3 1 ​ , in its form.
Learn about fractions here https://brainly.com/question/30154928
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Answered by chibuikeumeh | 2024-06-18

The repeating decimal 0.3 can be expressed as the fraction 3 1 ​ . This is done by defining it algebraically, multiplying, and simplifying. Ultimately, 0.3 3 equals 3 1 ​ .
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Answered by chibuikeumeh | 2024-09-26