How to convert 69.78531249939 as a fraction

Question: What is 69.78531249939 as a fraction?


Answer: 69.78531249939 as a fraction is 12352/177


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How to convert 69.78531249939 as a fraction?

Solution:69.78531249939 as a fraction is 12352/177

Step 1:

The first step to converting 69.78531249939 to a fraction is to re-write 69.78531249939 in the form p/q where p and q are both positive integers. To start with, 69.78531249939 can be written as simply 69.78531249939/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 69.78531249939, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 69.78531249939/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 69.78531249939/1 each by 100000000000:

6978531249939/10 / 100000000000/10 = 6978531249939 / 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 69.78531249939 as a fraction:

12352/177 / 1

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