How to convert 1.414645080567 as a fraction

Question: What is 1.414645080567 as a fraction?


Answer: 1.414645080567 as a fraction is 3149/2226


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How to convert 1.414645080567 as a fraction?

Solution:1.414645080567 as a fraction is 3149/2226

Step 1:

The first step to converting 1.414645080567 to a fraction is to re-write 1.414645080567 in the form p/q where p and q are both positive integers. To start with, 1.414645080567 can be written as simply 1.414645080567/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1.414645080567, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1.414645080567/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1.414645080567/1 each by 1000000000000:

1414645080567/10 / 1000000000000/10 = 1414645080567 / 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 1.414645080567 as a fraction:

3149/2226 / 1

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