How to convert 9.942790756165 as a fraction

Question: What is 9.942790756165 as a fraction?


Answer: 9.942790756165 as a fraction is 3997/402


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How to convert 9.942790756165 as a fraction?

Solution:9.942790756165 as a fraction is 3997/402

Step 1:

The first step to converting 9.942790756165 to a fraction is to re-write 9.942790756165 in the form p/q where p and q are both positive integers. To start with, 9.942790756165 can be written as simply 9.942790756165/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 9.942790756165, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 9.942790756165/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 9.942790756165/1 each by 1000000000000:

9942790756165/10 / 1000000000000/10 = 9942790756165 / 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 9.942790756165 as a fraction:

3997/402 / 1

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