How to convert 280.705 as a fraction

Question: What is 280.705 as a fraction?


Answer: 280.705 as a fraction is 17123/61


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How to convert 280.705 as a fraction?

Solution:280.705 as a fraction is 17123/61

Step 1:

The first step to converting 280.705 to a fraction is to re-write 280.705 in the form p/q where p and q are both positive integers. To start with, 280.705 can be written as simply 280.705/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 280.705, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 280.705/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 280.705/1 each by 1000:

280705/10 / 1000/10 = 280705 / 1000

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 280.705 as a fraction:

17123/61 / 1

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