How to convert 160.2849 as a fraction

Question: What is 160.2849 as a fraction?


Answer: 160.2849 as a fraction is 27569/172


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How to convert 160.2849 as a fraction?

Solution:160.2849 as a fraction is 27569/172

Step 1:

The first step to converting 160.2849 to a fraction is to re-write 160.2849 in the form p/q where p and q are both positive integers. To start with, 160.2849 can be written as simply 160.2849/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 160.2849, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 160.2849/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 160.2849/1 each by 10000:

1602849/10 / 10000/10 = 1602849 / 10000

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 160.2849 as a fraction:

27569/172 / 1

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