How to convert 248.78513671875 as a fraction

Question: What is 248.78513671875 as a fraction?


Answer: 248.78513671875 as a fraction is 30103/121


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How to convert 248.78513671875 as a fraction?

Solution:248.78513671875 as a fraction is 30103/121

Step 1:

The first step to converting 248.78513671875 to a fraction is to re-write 248.78513671875 in the form p/q where p and q are both positive integers. To start with, 248.78513671875 can be written as simply 248.78513671875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 248.78513671875, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 248.78513671875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 248.78513671875/1 each by 100000000000:

24878513671875/10 / 100000000000/10 = 24878513671875 / 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 248.78513671875 as a fraction:

30103/121 / 1

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