How to convert 86.77812499999 as a fraction

Question: What is 86.77812499999 as a fraction?


Answer: 86.77812499999 as a fraction is 27769/320


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How to convert 86.77812499999 as a fraction?

Solution:86.77812499999 as a fraction is 27769/320

Step 1:

The first step to converting 86.77812499999 to a fraction is to re-write 86.77812499999 in the form p/q where p and q are both positive integers. To start with, 86.77812499999 can be written as simply 86.77812499999/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 86.77812499999, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 86.77812499999/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 86.77812499999/1 each by 100000000000:

8677812499999/10 / 100000000000/10 = 8677812499999 / 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 86.77812499999 as a fraction:

27769/320 / 1

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