How to convert 1.414471983828 as a fraction

Question: What is 1.414471983828 as a fraction?


Answer: 1.414471983828 as a fraction is 5317/3759


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How to convert 1.414471983828 as a fraction?

Solution:1.414471983828 as a fraction is 5317/3759

Step 1:

The first step to converting 1.414471983828 to a fraction is to re-write 1.414471983828 in the form p/q where p and q are both positive integers. To start with, 1.414471983828 can be written as simply 1.414471983828/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1.414471983828, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1.414471983828/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1.414471983828/1 each by 1000000000000:

1414471983828/10 / 1000000000000/10 = 1414471983828 / 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 1.414471983828 as a fraction:

5317/3759 / 1

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