How to convert 268.11801993623 as a fraction

Question: What is 268.11801993623 as a fraction?


Answer: 268.11801993623 as a fraction is 38609/144


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How to convert 268.11801993623 as a fraction?

Solution:268.11801993623 as a fraction is 38609/144

Step 1:

The first step to converting 268.11801993623 to a fraction is to re-write 268.11801993623 in the form p/q where p and q are both positive integers. To start with, 268.11801993623 can be written as simply 268.11801993623/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 268.11801993623, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 268.11801993623/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 268.11801993623/1 each by 100000000000:

26811801993623/10 / 100000000000/10 = 26811801993623 / 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 268.11801993623 as a fraction:

38609/144 / 1

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