How to convert 159.78919842767 as a fraction

Question: What is 159.78919842767 as a fraction?


Answer: 159.78919842767 as a fraction is 29561/185


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How to convert 159.78919842767 as a fraction?

Solution:159.78919842767 as a fraction is 29561/185

Step 1:

The first step to converting 159.78919842767 to a fraction is to re-write 159.78919842767 in the form p/q where p and q are both positive integers. To start with, 159.78919842767 can be written as simply 159.78919842767/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 159.78919842767, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 159.78919842767/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 159.78919842767/1 each by 100000000000:

15978919842767/10 / 100000000000/10 = 15978919842767 / 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 159.78919842767 as a fraction:

29561/185 / 1

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