How to convert 105.09491210932 as a fraction

Question: What is 105.09491210932 as a fraction?


Answer: 105.09491210932 as a fraction is 14398/137


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How to convert 105.09491210932 as a fraction?

Solution:105.09491210932 as a fraction is 14398/137

Step 1:

The first step to converting 105.09491210932 to a fraction is to re-write 105.09491210932 in the form p/q where p and q are both positive integers. To start with, 105.09491210932 can be written as simply 105.09491210932/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 105.09491210932, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 105.09491210932/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 105.09491210932/1 each by 100000000000:

10509491210932/10 / 100000000000/10 = 10509491210932 / 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 105.09491210932 as a fraction:

14398/137 / 1

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