How to convert 26.758021100413 as a fraction

Question: What is 26.758021100413 as a fraction?


Answer: 26.758021100413 as a fraction is 9178/343


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How to convert 26.758021100413 as a fraction?

Solution:26.758021100413 as a fraction is 9178/343

Step 1:

The first step to converting 26.758021100413 to a fraction is to re-write 26.758021100413 in the form p/q where p and q are both positive integers. To start with, 26.758021100413 can be written as simply 26.758021100413/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 26.758021100413, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 26.758021100413/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 26.758021100413/1 each by 1000000000000:

26758021100413/10 / 1000000000000/10 = 26758021100413 / 1000000000000

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 26.758021100413 as a fraction:

9178/343 / 1

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