How to convert 29.85712311 as a fraction

Question: What is 29.85712311 as a fraction?


Answer: 29.85712311 as a fraction is 209/7


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How to convert 29.85712311 as a fraction?

Solution:29.85712311 as a fraction is 209/7

Step 1:

The first step to converting 29.85712311 to a fraction is to re-write 29.85712311 in the form p/q where p and q are both positive integers. To start with, 29.85712311 can be written as simply 29.85712311/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 29.85712311, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 29.85712311/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 29.85712311/1 each by 100000000:

2985712311/10 / 100000000/10 = 2985712311 / 100000000

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 29.85712311 as a fraction:

209/7 / 1

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