How to convert 212.7705494874 as a fraction

Question: What is 212.7705494874 as a fraction?


Answer: 212.7705494874 as a fraction is 12979/61


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How to convert 212.7705494874 as a fraction?

Solution:212.7705494874 as a fraction is 12979/61

Step 1:

The first step to converting 212.7705494874 to a fraction is to re-write 212.7705494874 in the form p/q where p and q are both positive integers. To start with, 212.7705494874 can be written as simply 212.7705494874/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 212.7705494874, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 212.7705494874/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 212.7705494874/1 each by 10000000000:

2127705494874/10 / 10000000000/10 = 2127705494874 / 10000000000

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 212.7705494874 as a fraction:

12979/61 / 1

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