How to convert 137.6920818742 as a fraction

Question: What is 137.6920818742 as a fraction?


Answer: 137.6920818742 as a fraction is 45163/328


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How to convert 137.6920818742 as a fraction?

Solution:137.6920818742 as a fraction is 45163/328

Step 1:

The first step to converting 137.6920818742 to a fraction is to re-write 137.6920818742 in the form p/q where p and q are both positive integers. To start with, 137.6920818742 can be written as simply 137.6920818742/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 137.6920818742, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 137.6920818742/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 137.6920818742/1 each by 10000000000:

1376920818742/10 / 10000000000/10 = 1376920818742 / 10000000000

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 137.6920818742 as a fraction:

45163/328 / 1

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