How to convert 254.14546878417 as a fraction

Question: What is 254.14546878417 as a fraction?


Answer: 254.14546878417 as a fraction is 13978/55


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How to convert 254.14546878417 as a fraction?

Solution:254.14546878417 as a fraction is 13978/55

Step 1:

The first step to converting 254.14546878417 to a fraction is to re-write 254.14546878417 in the form p/q where p and q are both positive integers. To start with, 254.14546878417 can be written as simply 254.14546878417/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 254.14546878417, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 254.14546878417/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 254.14546878417/1 each by 100000000000:

25414546878417/10 / 100000000000/10 = 25414546878417 / 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 254.14546878417 as a fraction:

13978/55 / 1

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