How to convert 47.205782201748 as a fraction

Question: What is 47.205782201748 as a fraction?


Answer: 47.205782201748 as a fraction is 13076/277


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How to convert 47.205782201748 as a fraction?

Solution:47.205782201748 as a fraction is 13076/277

Step 1:

The first step to converting 47.205782201748 to a fraction is to re-write 47.205782201748 in the form p/q where p and q are both positive integers. To start with, 47.205782201748 can be written as simply 47.205782201748/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 47.205782201748, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 47.205782201748/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 47.205782201748/1 each by 1000000000000:

47205782201748/10 / 1000000000000/10 = 47205782201748 / 1000000000000

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 47.205782201748 as a fraction:

13076/277 / 1

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