How to convert 160.85419642813 as a fraction

Question: What is 160.85419642813 as a fraction?


Answer: 160.85419642813 as a fraction is 7721/48


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How to convert 160.85419642813 as a fraction?

Solution:160.85419642813 as a fraction is 7721/48

Step 1:

The first step to converting 160.85419642813 to a fraction is to re-write 160.85419642813 in the form p/q where p and q are both positive integers. To start with, 160.85419642813 can be written as simply 160.85419642813/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 160.85419642813, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 160.85419642813/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 160.85419642813/1 each by 100000000000:

16085419642813/10 / 100000000000/10 = 16085419642813 / 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 160.85419642813 as a fraction:

7721/48 / 1

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