How to convert 252.14405 as a fraction

Question: What is 252.14405 as a fraction?


Answer: 252.14405 as a fraction is 29753/118


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How to convert 252.14405 as a fraction?

Solution:252.14405 as a fraction is 29753/118

Step 1:

The first step to converting 252.14405 to a fraction is to re-write 252.14405 in the form p/q where p and q are both positive integers. To start with, 252.14405 can be written as simply 252.14405/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 252.14405, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 252.14405/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 252.14405/1 each by 100000:

25214405/10 / 100000/10 = 25214405 / 100000

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 252.14405 as a fraction:

29753/118 / 1

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