How to convert 78.085201831747 as a fraction

Question: What is 78.085201831747 as a fraction?


Answer: 78.085201831747 as a fraction is 13743/176


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How to convert 78.085201831747 as a fraction?

Solution:78.085201831747 as a fraction is 13743/176

Step 1:

The first step to converting 78.085201831747 to a fraction is to re-write 78.085201831747 in the form p/q where p and q are both positive integers. To start with, 78.085201831747 can be written as simply 78.085201831747/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 78.085201831747, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 78.085201831747/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 78.085201831747/1 each by 1000000000000:

78085201831747/10 / 1000000000000/10 = 78085201831747 / 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 78.085201831747 as a fraction:

13743/176 / 1

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