How to convert 705.69524909305 as a fraction

Question: What is 705.69524909305 as a fraction?


Answer: 705.69524909305 as a fraction is 16231/23


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How to convert 705.69524909305 as a fraction?

Solution:705.69524909305 as a fraction is 16231/23

Step 1:

The first step to converting 705.69524909305 to a fraction is to re-write 705.69524909305 in the form p/q where p and q are both positive integers. To start with, 705.69524909305 can be written as simply 705.69524909305/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 705.69524909305, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 705.69524909305/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 705.69524909305/1 each by 100000000000:

70569524909305/10 / 100000000000/10 = 70569524909305 / 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 705.69524909305 as a fraction:

16231/23 / 1

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