How to convert 5.642640334766 as a fraction

Question: What is 5.642640334766 as a fraction?


Answer: 5.642640334766 as a fraction is 1879/333


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How to convert 5.642640334766 as a fraction?

Solution:5.642640334766 as a fraction is 1879/333

Step 1:

The first step to converting 5.642640334766 to a fraction is to re-write 5.642640334766 in the form p/q where p and q are both positive integers. To start with, 5.642640334766 can be written as simply 5.642640334766/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.642640334766, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.642640334766/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.642640334766/1 each by 1000000000000:

5642640334766/10 / 1000000000000/10 = 5642640334766 / 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 5.642640334766 as a fraction:

1879/333 / 1

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