How to convert 852.69525252883 as a fraction

Question: What is 852.69525252883 as a fraction?


Answer: 852.69525252883 as a fraction is 19612/23


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How to convert 852.69525252883 as a fraction?

Solution:852.69525252883 as a fraction is 19612/23

Step 1:

The first step to converting 852.69525252883 to a fraction is to re-write 852.69525252883 in the form p/q where p and q are both positive integers. To start with, 852.69525252883 can be written as simply 852.69525252883/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 852.69525252883, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 852.69525252883/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 852.69525252883/1 each by 100000000000:

85269525252883/10 / 100000000000/10 = 85269525252883 / 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 852.69525252883 as a fraction:

19612/23 / 1

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