How to convert 488.14172635047 as a fraction

Question: What is 488.14172635047 as a fraction?


Answer: 488.14172635047 as a fraction is 58577/120


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How to convert 488.14172635047 as a fraction?

Solution:488.14172635047 as a fraction is 58577/120

Step 1:

The first step to converting 488.14172635047 to a fraction is to re-write 488.14172635047 in the form p/q where p and q are both positive integers. To start with, 488.14172635047 can be written as simply 488.14172635047/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 488.14172635047, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 488.14172635047/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 488.14172635047/1 each by 100000000000:

48814172635047/10 / 100000000000/10 = 48814172635047 / 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 488.14172635047 as a fraction:

58577/120 / 1

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