How to convert 137.785940511 as a fraction

Question: What is 137.785940511 as a fraction?


Answer: 137.785940511 as a fraction is 43127/313


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How to convert 137.785940511 as a fraction?

Solution:137.785940511 as a fraction is 43127/313

Step 1:

The first step to converting 137.785940511 to a fraction is to re-write 137.785940511 in the form p/q where p and q are both positive integers. To start with, 137.785940511 can be written as simply 137.785940511/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 137.785940511, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 137.785940511/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 137.785940511/1 each by 1000000000:

137785940511/10 / 1000000000/10 = 137785940511 / 1000000000

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 137.785940511 as a fraction:

43127/313 / 1

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