How to convert 221.21309765624 as a fraction

Question: What is 221.21309765624 as a fraction?


Answer: 221.21309765624 as a fraction is 13494/61


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How to convert 221.21309765624 as a fraction?

Solution:221.21309765624 as a fraction is 13494/61

Step 1:

The first step to converting 221.21309765624 to a fraction is to re-write 221.21309765624 in the form p/q where p and q are both positive integers. To start with, 221.21309765624 can be written as simply 221.21309765624/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 221.21309765624, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 221.21309765624/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 221.21309765624/1 each by 100000000000:

22121309765624/10 / 100000000000/10 = 22121309765624 / 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 221.21309765624 as a fraction:

13494/61 / 1

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