How to convert 146.20808593749 as a fraction

Question: What is 146.20808593749 as a fraction?


Answer: 146.20808593749 as a fraction is 21785/149


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How to convert 146.20808593749 as a fraction?

Solution:146.20808593749 as a fraction is 21785/149

Step 1:

The first step to converting 146.20808593749 to a fraction is to re-write 146.20808593749 in the form p/q where p and q are both positive integers. To start with, 146.20808593749 can be written as simply 146.20808593749/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 146.20808593749, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 146.20808593749/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 146.20808593749/1 each by 100000000000:

14620808593749/10 / 100000000000/10 = 14620808593749 / 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 146.20808593749 as a fraction:

21785/149 / 1

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