How to convert 69.284765624825 as a fraction

Question: What is 69.284765624825 as a fraction?


Answer: 69.284765624825 as a fraction is 9977/144


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How to convert 69.284765624825 as a fraction?

Solution:69.284765624825 as a fraction is 9977/144

Step 1:

The first step to converting 69.284765624825 to a fraction is to re-write 69.284765624825 in the form p/q where p and q are both positive integers. To start with, 69.284765624825 can be written as simply 69.284765624825/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 69.284765624825, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 69.284765624825/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 69.284765624825/1 each by 1000000000000:

69284765624825/10 / 1000000000000/10 = 69284765624825 / 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 69.284765624825 as a fraction:

9977/144 / 1

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