How to convert 73.78343742913 as a fraction

Question: What is 73.78343742913 as a fraction?


Answer: 73.78343742913 as a fraction is 11584/157


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How to convert 73.78343742913 as a fraction?

Solution:73.78343742913 as a fraction is 11584/157

Step 1:

The first step to converting 73.78343742913 to a fraction is to re-write 73.78343742913 in the form p/q where p and q are both positive integers. To start with, 73.78343742913 can be written as simply 73.78343742913/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 73.78343742913, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 73.78343742913/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 73.78343742913/1 each by 100000000000:

7378343742913/10 / 100000000000/10 = 7378343742913 / 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 73.78343742913 as a fraction:

11584/157 / 1

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