How to convert 100.40143066408 as a fraction

Question: What is 100.40143066408 as a fraction?


Answer: 100.40143066408 as a fraction is 13755/137


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How to convert 100.40143066408 as a fraction?

Solution:100.40143066408 as a fraction is 13755/137

Step 1:

The first step to converting 100.40143066408 to a fraction is to re-write 100.40143066408 in the form p/q where p and q are both positive integers. To start with, 100.40143066408 can be written as simply 100.40143066408/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 100.40143066408, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 100.40143066408/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 100.40143066408/1 each by 100000000000:

10040143066408/10 / 100000000000/10 = 10040143066408 / 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 100.40143066408 as a fraction:

13755/137 / 1

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