How to convert 895.45236816395 as a fraction

Question: What is 895.45236816395 as a fraction?


Answer: 895.45236816395 as a fraction is 27759/31


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How to convert 895.45236816395 as a fraction?

Solution:895.45236816395 as a fraction is 27759/31

Step 1:

The first step to converting 895.45236816395 to a fraction is to re-write 895.45236816395 in the form p/q where p and q are both positive integers. To start with, 895.45236816395 can be written as simply 895.45236816395/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 895.45236816395, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 895.45236816395/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 895.45236816395/1 each by 100000000000:

89545236816395/10 / 100000000000/10 = 89545236816395 / 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 895.45236816395 as a fraction:

27759/31 / 1

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