How to convert 92.742138758827 as a fraction

Question: What is 92.742138758827 as a fraction?


Answer: 92.742138758827 as a fraction is 11871/128


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How to convert 92.742138758827 as a fraction?

Solution:92.742138758827 as a fraction is 11871/128

Step 1:

The first step to converting 92.742138758827 to a fraction is to re-write 92.742138758827 in the form p/q where p and q are both positive integers. To start with, 92.742138758827 can be written as simply 92.742138758827/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 92.742138758827, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 92.742138758827/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 92.742138758827/1 each by 1000000000000:

92742138758827/10 / 1000000000000/10 = 92742138758827 / 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 92.742138758827 as a fraction:

11871/128 / 1

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