How to convert 78.758721187356 as a fraction

Question: What is 78.758721187356 as a fraction?


Answer: 78.758721187356 as a fraction is 24809/315


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How to convert 78.758721187356 as a fraction?

Solution:78.758721187356 as a fraction is 24809/315

Step 1:

The first step to converting 78.758721187356 to a fraction is to re-write 78.758721187356 in the form p/q where p and q are both positive integers. To start with, 78.758721187356 can be written as simply 78.758721187356/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 78.758721187356, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 78.758721187356/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 78.758721187356/1 each by 1000000000000:

78758721187356/10 / 1000000000000/10 = 78758721187356 / 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 78.758721187356 as a fraction:

24809/315 / 1

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