How to convert 997.78204545608 as a fraction

Question: What is 997.78204545608 as a fraction?


Answer: 997.78204545608 as a fraction is 22949/23


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How to convert 997.78204545608 as a fraction?

Solution:997.78204545608 as a fraction is 22949/23

Step 1:

The first step to converting 997.78204545608 to a fraction is to re-write 997.78204545608 in the form p/q where p and q are both positive integers. To start with, 997.78204545608 can be written as simply 997.78204545608/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 997.78204545608, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 997.78204545608/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 997.78204545608/1 each by 100000000000:

99778204545608/10 / 100000000000/10 = 99778204545608 / 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 997.78204545608 as a fraction:

22949/23 / 1

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