How to convert 676.21298375 as a fraction

Question: What is 676.21298375 as a fraction?


Answer: 676.21298375 as a fraction is 31782/47


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How to convert 676.21298375 as a fraction?

Solution:676.21298375 as a fraction is 31782/47

Step 1:

The first step to converting 676.21298375 to a fraction is to re-write 676.21298375 in the form p/q where p and q are both positive integers. To start with, 676.21298375 can be written as simply 676.21298375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 676.21298375, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 676.21298375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 676.21298375/1 each by 100000000:

67621298375/10 / 100000000/10 = 67621298375 / 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 676.21298375 as a fraction:

31782/47 / 1

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