How to convert 894.147958401 as a fraction

Question: What is 894.147958401 as a fraction?


Answer: 894.147958401 as a fraction is 24142/27


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How to convert 894.147958401 as a fraction?

Solution:894.147958401 as a fraction is 24142/27

Step 1:

The first step to converting 894.147958401 to a fraction is to re-write 894.147958401 in the form p/q where p and q are both positive integers. To start with, 894.147958401 can be written as simply 894.147958401/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 894.147958401, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 894.147958401/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 894.147958401/1 each by 1000000000:

894147958401/10 / 1000000000/10 = 894147958401 / 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 894.147958401 as a fraction:

24142/27 / 1

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