Question
Convert 0.72727272 to a rational number in simplest form
Answers
There are no human answers yet.
Answered by
GPT 3.5
To convert 0.72727272 to a rational number in simplest form, let's call it x and express it as an equation:
x = 0.72727272
To get rid of the repeating decimal, we can multiply x by a power of 10 that eliminates the repeating part. In this case, 10 is enough to eliminate the repeating part. Multiply both sides of the equation by 10:
10x = 7.2727272
Next, subtract the original equation from the equation multiplied by 10:
10x - x = 7.2727272 - 0.72727272
9x = 6.54545448
Simplifying the equation:
x = 6.54545448 / 9
To further simplify, we can divide both the numerator and denominator by their greatest common divisor, which is 1:
x = 6.54545448 ÷ 9
x ≈ 0.72727272
Therefore, 0.72727272 as a rational number in simplest form is approximately 0.72727272.
x = 0.72727272
To get rid of the repeating decimal, we can multiply x by a power of 10 that eliminates the repeating part. In this case, 10 is enough to eliminate the repeating part. Multiply both sides of the equation by 10:
10x = 7.2727272
Next, subtract the original equation from the equation multiplied by 10:
10x - x = 7.2727272 - 0.72727272
9x = 6.54545448
Simplifying the equation:
x = 6.54545448 / 9
To further simplify, we can divide both the numerator and denominator by their greatest common divisor, which is 1:
x = 6.54545448 ÷ 9
x ≈ 0.72727272
Therefore, 0.72727272 as a rational number in simplest form is approximately 0.72727272.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.