How to convert 357.82945312758 as a fraction

Question: What is 357.82945312758 as a fraction?


Answer: 357.82945312758 as a fraction is 14671/41


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How to convert 357.82945312758 as a fraction?

Solution:357.82945312758 as a fraction is 14671/41

Step 1:

The first step to converting 357.82945312758 to a fraction is to re-write 357.82945312758 in the form p/q where p and q are both positive integers. To start with, 357.82945312758 can be written as simply 357.82945312758/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 357.82945312758, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 357.82945312758/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 357.82945312758/1 each by 100000000000:

35782945312758/10 / 100000000000/10 = 35782945312758 / 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 357.82945312758 as a fraction:

14671/41 / 1

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