How to convert 240.17705810399 as a fraction

Question: What is 240.17705810399 as a fraction?


Answer: 240.17705810399 as a fraction is 23057/96


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How to convert 240.17705810399 as a fraction?

Solution:240.17705810399 as a fraction is 23057/96

Step 1:

The first step to converting 240.17705810399 to a fraction is to re-write 240.17705810399 in the form p/q where p and q are both positive integers. To start with, 240.17705810399 can be written as simply 240.17705810399/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 240.17705810399, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 240.17705810399/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 240.17705810399/1 each by 100000000000:

24017705810399/10 / 100000000000/10 = 24017705810399 / 100000000000

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 240.17705810399 as a fraction:

23057/96 / 1

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