How to convert 5.284765623576 as a fraction

Question: What is 5.284765623576 as a fraction?


Answer: 5.284765623576 as a fraction is 798/151


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How to convert 5.284765623576 as a fraction?

Solution:5.284765623576 as a fraction is 798/151

Step 1:

The first step to converting 5.284765623576 to a fraction is to re-write 5.284765623576 in the form p/q where p and q are both positive integers. To start with, 5.284765623576 can be written as simply 5.284765623576/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.284765623576, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.284765623576/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.284765623576/1 each by 1000000000000:

5284765623576/10 / 1000000000000/10 = 5284765623576 / 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 5.284765623576 as a fraction:

798/151 / 1

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