How to convert 159.785273732 as a fraction

Question: What is 159.785273732 as a fraction?


Answer: 159.785273732 as a fraction is 23808/149


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How to convert 159.785273732 as a fraction?

Solution:159.785273732 as a fraction is 23808/149

Step 1:

The first step to converting 159.785273732 to a fraction is to re-write 159.785273732 in the form p/q where p and q are both positive integers. To start with, 159.785273732 can be written as simply 159.785273732/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 159.785273732, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 159.785273732/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 159.785273732/1 each by 1000000000:

159785273732/10 / 1000000000/10 = 159785273732 / 1000000000

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 159.785273732 as a fraction:

23808/149 / 1

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