How to convert 998.34142857144 as a fraction

Question: What is 998.34142857144 as a fraction?


Answer: 998.34142857144 as a fraction is 40932/41


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How to convert 998.34142857144 as a fraction?

Solution:998.34142857144 as a fraction is 40932/41

Step 1:

The first step to converting 998.34142857144 to a fraction is to re-write 998.34142857144 in the form p/q where p and q are both positive integers. To start with, 998.34142857144 can be written as simply 998.34142857144/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 998.34142857144, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 998.34142857144/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 998.34142857144/1 each by 100000000000:

99834142857144/10 / 100000000000/10 = 99834142857144 / 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 998.34142857144 as a fraction:

40932/41 / 1

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