How to convert 99.742148433905 as a fraction

Question: What is 99.742148433905 as a fraction?


Answer: 99.742148433905 as a fraction is 12767/128


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How to convert 99.742148433905 as a fraction?

Solution:99.742148433905 as a fraction is 12767/128

Step 1:

The first step to converting 99.742148433905 to a fraction is to re-write 99.742148433905 in the form p/q where p and q are both positive integers. To start with, 99.742148433905 can be written as simply 99.742148433905/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 99.742148433905, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 99.742148433905/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 99.742148433905/1 each by 1000000000000:

99742148433905/10 / 1000000000000/10 = 99742148433905 / 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 99.742148433905 as a fraction:

12767/128 / 1

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