How to convert 222.413 as a fraction

Question: What is 222.413 as a fraction?


Answer: 222.413 as a fraction is 10231/46


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How to convert 222.413 as a fraction?

Solution:222.413 as a fraction is 10231/46

Step 1:

The first step to converting 222.413 to a fraction is to re-write 222.413 in the form p/q where p and q are both positive integers. To start with, 222.413 can be written as simply 222.413/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 222.413, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 222.413/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 222.413/1 each by 1000:

222413/10 / 1000/10 = 222413 / 1000

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 222.413 as a fraction:

10231/46 / 1

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