How to convert 249.782890625 as a fraction

Question: What is 249.782890625 as a fraction?


Answer: 249.782890625 as a fraction is 37967/152


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How to convert 249.782890625 as a fraction?

Solution:249.782890625 as a fraction is 37967/152

Step 1:

The first step to converting 249.782890625 to a fraction is to re-write 249.782890625 in the form p/q where p and q are both positive integers. To start with, 249.782890625 can be written as simply 249.782890625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 249.782890625, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 249.782890625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 249.782890625/1 each by 1000000000:

249782890625/10 / 1000000000/10 = 249782890625 / 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 249.782890625 as a fraction:

37967/152 / 1

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