How to convert 254.21086968333 as a fraction

Question: What is 254.21086968333 as a fraction?


Answer: 254.21086968333 as a fraction is 37369/147


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How to convert 254.21086968333 as a fraction?

Solution:254.21086968333 as a fraction is 37369/147

Step 1:

The first step to converting 254.21086968333 to a fraction is to re-write 254.21086968333 in the form p/q where p and q are both positive integers. To start with, 254.21086968333 can be written as simply 254.21086968333/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 254.21086968333, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 254.21086968333/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 254.21086968333/1 each by 100000000000:

25421086968333/10 / 100000000000/10 = 25421086968333 / 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 254.21086968333 as a fraction:

37369/147 / 1

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