How to convert 256.9920748975 as a fraction

Question: What is 256.9920748975 as a fraction?


Answer: 256.9920748975 as a fraction is 32381/126


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How to convert 256.9920748975 as a fraction?

Solution:256.9920748975 as a fraction is 32381/126

Step 1:

The first step to converting 256.9920748975 to a fraction is to re-write 256.9920748975 in the form p/q where p and q are both positive integers. To start with, 256.9920748975 can be written as simply 256.9920748975/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 256.9920748975, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 256.9920748975/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 256.9920748975/1 each by 10000000000:

2569920748975/10 / 10000000000/10 = 2569920748975 / 10000000000

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 256.9920748975 as a fraction:

32381/126 / 1

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