How to convert 260.249140625 as a fraction

Question: What is 260.249140625 as a fraction?


Answer: 260.249140625 as a fraction is 75212/289


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How to convert 260.249140625 as a fraction?

Solution:260.249140625 as a fraction is 75212/289

Step 1:

The first step to converting 260.249140625 to a fraction is to re-write 260.249140625 in the form p/q where p and q are both positive integers. To start with, 260.249140625 can be written as simply 260.249140625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 260.249140625, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 260.249140625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 260.249140625/1 each by 1000000000:

260249140625/10 / 1000000000/10 = 260249140625 / 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 260.249140625 as a fraction:

75212/289 / 1

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