How to convert 0.938415526911 as a fraction

Question: What is 0.938415526911 as a fraction?


Answer: 0.938415526911 as a fraction is 320/341


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How to convert 0.938415526911 as a fraction?

Solution:0.938415526911 as a fraction is 320/341

Step 1:

The first step to converting 0.938415526911 to a fraction is to re-write 0.938415526911 in the form p/q where p and q are both positive integers. To start with, 0.938415526911 can be written as simply 0.938415526911/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.938415526911, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.938415526911/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 0.938415526911/1 each by 1000000000000:

0938415526911/10 / 1000000000000/10 = 0938415526911 / 1000000000000

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 0.938415526911 as a fraction:

320/341 / 1

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