How to convert 357.14142847259 as a fraction

Question: What is 357.14142847259 as a fraction?


Answer: 357.14142847259 as a fraction is 35357/99


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How to convert 357.14142847259 as a fraction?

Solution:357.14142847259 as a fraction is 35357/99

Step 1:

The first step to converting 357.14142847259 to a fraction is to re-write 357.14142847259 in the form p/q where p and q are both positive integers. To start with, 357.14142847259 can be written as simply 357.14142847259/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 357.14142847259, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 357.14142847259/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 357.14142847259/1 each by 100000000000:

35714142847259/10 / 100000000000/10 = 35714142847259 / 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 357.14142847259 as a fraction:

35357/99 / 1

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