How to convert 254.533749582 as a fraction

Question: What is 254.533749582 as a fraction?


Answer: 254.533749582 as a fraction is 37671/148


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How to convert 254.533749582 as a fraction?

Solution:254.533749582 as a fraction is 37671/148

Step 1:

The first step to converting 254.533749582 to a fraction is to re-write 254.533749582 in the form p/q where p and q are both positive integers. To start with, 254.533749582 can be written as simply 254.533749582/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 254.533749582, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 254.533749582/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 254.533749582/1 each by 1000000000:

254533749582/10 / 1000000000/10 = 254533749582 / 1000000000

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 254.533749582 as a fraction:

37671/148 / 1

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