How to convert 162.82821698442 as a fraction

Question: What is 162.82821698442 as a fraction?


Answer: 162.82821698442 as a fraction is 10421/64


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How to convert 162.82821698442 as a fraction?

Solution:162.82821698442 as a fraction is 10421/64

Step 1:

The first step to converting 162.82821698442 to a fraction is to re-write 162.82821698442 in the form p/q where p and q are both positive integers. To start with, 162.82821698442 can be written as simply 162.82821698442/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 162.82821698442, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 162.82821698442/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 162.82821698442/1 each by 100000000000:

16282821698442/10 / 100000000000/10 = 16282821698442 / 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 162.82821698442 as a fraction:

10421/64 / 1

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