How to convert 998.415 as a fraction

Question: What is 998.415 as a fraction?


Answer: 998.415 as a fraction is 40935/41


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How to convert 998.415 as a fraction?

Solution:998.415 as a fraction is 40935/41

Step 1:

The first step to converting 998.415 to a fraction is to re-write 998.415 in the form p/q where p and q are both positive integers. To start with, 998.415 can be written as simply 998.415/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 998.415, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 998.415/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 998.415/1 each by 1000:

998415/10 / 1000/10 = 998415 / 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 998.415 as a fraction:

40935/41 / 1

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