How to convert 687.2828308428 as a fraction

Question: What is 687.2828308428 as a fraction?


Answer: 687.2828308428 as a fraction is 31615/46


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How to convert 687.2828308428 as a fraction?

Solution:687.2828308428 as a fraction is 31615/46

Step 1:

The first step to converting 687.2828308428 to a fraction is to re-write 687.2828308428 in the form p/q where p and q are both positive integers. To start with, 687.2828308428 can be written as simply 687.2828308428/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 687.2828308428, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 687.2828308428/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 687.2828308428/1 each by 10000000000:

6872828308428/10 / 10000000000/10 = 6872828308428 / 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 687.2828308428 as a fraction:

31615/46 / 1

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