How to convert 501.14343749948 as a fraction

Question: What is 501.14343749948 as a fraction?


Answer: 501.14343749948 as a fraction is 122279/244


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How to convert 501.14343749948 as a fraction?

Solution:501.14343749948 as a fraction is 122279/244

Step 1:

The first step to converting 501.14343749948 to a fraction is to re-write 501.14343749948 in the form p/q where p and q are both positive integers. To start with, 501.14343749948 can be written as simply 501.14343749948/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 501.14343749948, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 501.14343749948/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 501.14343749948/1 each by 100000000000:

50114343749948/10 / 100000000000/10 = 50114343749948 / 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 501.14343749948 as a fraction:

122279/244 / 1

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