How to convert 225.07742187513 as a fraction

Question: What is 225.07742187513 as a fraction?


Answer: 225.07742187513 as a fraction is 31961/142


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How to convert 225.07742187513 as a fraction?

Solution:225.07742187513 as a fraction is 31961/142

Step 1:

The first step to converting 225.07742187513 to a fraction is to re-write 225.07742187513 in the form p/q where p and q are both positive integers. To start with, 225.07742187513 can be written as simply 225.07742187513/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 225.07742187513, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 225.07742187513/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 225.07742187513/1 each by 100000000000:

22507742187513/10 / 100000000000/10 = 22507742187513 / 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 225.07742187513 as a fraction:

31961/142 / 1

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