How to convert 217.53710931972 as a fraction

Question: What is 217.53710931972 as a fraction?


Answer: 217.53710931972 as a fraction is 11747/54


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How to convert 217.53710931972 as a fraction?

Solution:217.53710931972 as a fraction is 11747/54

Step 1:

The first step to converting 217.53710931972 to a fraction is to re-write 217.53710931972 in the form p/q where p and q are both positive integers. To start with, 217.53710931972 can be written as simply 217.53710931972/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 217.53710931972, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 217.53710931972/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 217.53710931972/1 each by 100000000000:

21753710931972/10 / 100000000000/10 = 21753710931972 / 100000000000

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 217.53710931972 as a fraction:

11747/54 / 1

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