How to convert 172.77721117874 as a fraction

Question: What is 172.77721117874 as a fraction?


Answer: 172.77721117874 as a fraction is 33346/193


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How to convert 172.77721117874 as a fraction?

Solution:172.77721117874 as a fraction is 33346/193

Step 1:

The first step to converting 172.77721117874 to a fraction is to re-write 172.77721117874 in the form p/q where p and q are both positive integers. To start with, 172.77721117874 can be written as simply 172.77721117874/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 172.77721117874, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 172.77721117874/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 172.77721117874/1 each by 100000000000:

17277721117874/10 / 100000000000/10 = 17277721117874 / 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 172.77721117874 as a fraction:

33346/193 / 1

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