How to convert 3.5228938 as a fraction

Question: What is 3.5228938 as a fraction?


Answer: 3.5228938 as a fraction is 1462/415


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How to convert 3.5228938 as a fraction?

Solution:3.5228938 as a fraction is 1462/415

Step 1:

The first step to converting 3.5228938 to a fraction is to re-write 3.5228938 in the form p/q where p and q are both positive integers. To start with, 3.5228938 can be written as simply 3.5228938/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.5228938, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.5228938/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.5228938/1 each by 10000000:

35228938/10 / 10000000/10 = 35228938 / 10000000

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 3.5228938 as a fraction:

1462/415 / 1

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