How to convert 389.21785988374 as a fraction

Question: What is 389.21785988374 as a fraction?


Answer: 389.21785988374 as a fraction is 30359/78


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How to convert 389.21785988374 as a fraction?

Solution:389.21785988374 as a fraction is 30359/78

Step 1:

The first step to converting 389.21785988374 to a fraction is to re-write 389.21785988374 in the form p/q where p and q are both positive integers. To start with, 389.21785988374 can be written as simply 389.21785988374/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 389.21785988374, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 389.21785988374/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 389.21785988374/1 each by 100000000000:

38921785988374/10 / 100000000000/10 = 38921785988374 / 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 389.21785988374 as a fraction:

30359/78 / 1

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