How to convert 998.2262 as a fraction

Question: What is 998.2262 as a fraction?


Answer: 998.2262 as a fraction is 30945/31


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How to convert 998.2262 as a fraction?

Solution:998.2262 as a fraction is 30945/31

Step 1:

The first step to converting 998.2262 to a fraction is to re-write 998.2262 in the form p/q where p and q are both positive integers. To start with, 998.2262 can be written as simply 998.2262/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 998.2262, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 998.2262/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 998.2262/1 each by 10000:

9982262/10 / 10000/10 = 9982262 / 10000

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 998.2262 as a fraction:

30945/31 / 1

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