How to convert 976.34146489993 as a fraction

Question: What is 976.34146489993 as a fraction?


Answer: 976.34146489993 as a fraction is 37101/38


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How to convert 976.34146489993 as a fraction?

Solution:976.34146489993 as a fraction is 37101/38

Step 1:

The first step to converting 976.34146489993 to a fraction is to re-write 976.34146489993 in the form p/q where p and q are both positive integers. To start with, 976.34146489993 can be written as simply 976.34146489993/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 976.34146489993, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 976.34146489993/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 976.34146489993/1 each by 100000000000:

97634146489993/10 / 100000000000/10 = 97634146489993 / 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 976.34146489993 as a fraction:

37101/38 / 1

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