How to convert 72.85807815918 as a fraction

Question: What is 72.85807815918 as a fraction?


Answer: 72.85807815918 as a fraction is 10783/148


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How to convert 72.85807815918 as a fraction?

Solution:72.85807815918 as a fraction is 10783/148

Step 1:

The first step to converting 72.85807815918 to a fraction is to re-write 72.85807815918 in the form p/q where p and q are both positive integers. To start with, 72.85807815918 can be written as simply 72.85807815918/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 72.85807815918, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 72.85807815918/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 72.85807815918/1 each by 100000000000:

7285807815918/10 / 100000000000/10 = 7285807815918 / 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 72.85807815918 as a fraction:

10783/148 / 1

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