How to convert 88.679726563136 as a fraction

Question: What is 88.679726563136 as a fraction?


Answer: 88.679726563136 as a fraction is 11351/128


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How to convert 88.679726563136 as a fraction?

Solution:88.679726563136 as a fraction is 11351/128

Step 1:

The first step to converting 88.679726563136 to a fraction is to re-write 88.679726563136 in the form p/q where p and q are both positive integers. To start with, 88.679726563136 can be written as simply 88.679726563136/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 88.679726563136, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 88.679726563136/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 88.679726563136/1 each by 1000000000000:

88679726563136/10 / 1000000000000/10 = 88679726563136 / 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 88.679726563136 as a fraction:

11351/128 / 1

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