How to convert 387.64535983668 as a fraction

Question: What is 387.64535983668 as a fraction?


Answer: 387.64535983668 as a fraction is 12017/31


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How to convert 387.64535983668 as a fraction?

Solution:387.64535983668 as a fraction is 12017/31

Step 1:

The first step to converting 387.64535983668 to a fraction is to re-write 387.64535983668 in the form p/q where p and q are both positive integers. To start with, 387.64535983668 can be written as simply 387.64535983668/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 387.64535983668, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 387.64535983668/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 387.64535983668/1 each by 100000000000:

38764535983668/10 / 100000000000/10 = 38764535983668 / 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 387.64535983668 as a fraction:

12017/31 / 1

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