How to convert 105.20658358598 as a fraction

Question: What is 105.20658358598 as a fraction?


Answer: 105.20658358598 as a fraction is 9679/92


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How to convert 105.20658358598 as a fraction?

Solution:105.20658358598 as a fraction is 9679/92

Step 1:

The first step to converting 105.20658358598 to a fraction is to re-write 105.20658358598 in the form p/q where p and q are both positive integers. To start with, 105.20658358598 can be written as simply 105.20658358598/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 105.20658358598, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 105.20658358598/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 105.20658358598/1 each by 100000000000:

10520658358598/10 / 100000000000/10 = 10520658358598 / 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 105.20658358598 as a fraction:

9679/92 / 1

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