How to convert 0.38523435390625 as a fraction

Question: What is 0.38523435390625 as a fraction?


Answer: 0.38523435390625 as a fraction is 814/2113


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How to convert 0.38523435390625 as a fraction?

Solution:0.38523435390625 as a fraction is 814/2113

Step 1:

The first step to converting 0.38523435390625 to a fraction is to re-write 0.38523435390625 in the form p/q where p and q are both positive integers. To start with, 0.38523435390625 can be written as simply 0.38523435390625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.38523435390625, which in this case is 14. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.38523435390625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 0.38523435390625/1 each by 100000000000000:

038523435390625/10 / 100000000000000/10 = 038523435390625 / 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 0.38523435390625 as a fraction:

814/2113 / 1

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