How to convert 95.658331498345 as a fraction

Question: What is 95.658331498345 as a fraction?


Answer: 95.658331498345 as a fraction is 11479/120


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How to convert 95.658331498345 as a fraction?

Solution:95.658331498345 as a fraction is 11479/120

Step 1:

The first step to converting 95.658331498345 to a fraction is to re-write 95.658331498345 in the form p/q where p and q are both positive integers. To start with, 95.658331498345 can be written as simply 95.658331498345/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 95.658331498345, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 95.658331498345/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 95.658331498345/1 each by 1000000000000:

95658331498345/10 / 1000000000000/10 = 95658331498345 / 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 95.658331498345 as a fraction:

11479/120 / 1

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