How to convert 0.40139589749295 as a fraction

Question: What is 0.40139589749295 as a fraction?


Answer: 0.40139589749295 as a fraction is 230/573


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How to convert 0.40139589749295 as a fraction?

Solution:0.40139589749295 as a fraction is 230/573

Step 1:

The first step to converting 0.40139589749295 to a fraction is to re-write 0.40139589749295 in the form p/q where p and q are both positive integers. To start with, 0.40139589749295 can be written as simply 0.40139589749295/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.40139589749295, which in this case is 14. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.40139589749295/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 0.40139589749295/1 each by 100000000000000:

040139589749295/10 / 100000000000000/10 = 040139589749295 / 100000000000000

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 0.40139589749295 as a fraction:

230/573 / 1

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