How to convert 894.521743164 as a fraction

Question: What is 894.521743164 as a fraction?


Answer: 894.521743164 as a fraction is 20574/23


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How to convert 894.521743164 as a fraction?

Solution:894.521743164 as a fraction is 20574/23

Step 1:

The first step to converting 894.521743164 to a fraction is to re-write 894.521743164 in the form p/q where p and q are both positive integers. To start with, 894.521743164 can be written as simply 894.521743164/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 894.521743164, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 894.521743164/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 894.521743164/1 each by 1000000000:

894521743164/10 / 1000000000/10 = 894521743164 / 1000000000

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 894.521743164 as a fraction:

20574/23 / 1

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