How to convert 2989.523 as a fraction

Question: What is 2989.523 as a fraction?


Answer: 2989.523 as a fraction is 62780/21


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How to convert 2989.523 as a fraction?

Solution:2989.523 as a fraction is 62780/21

Step 1:

The first step to converting 2989.523 to a fraction is to re-write 2989.523 in the form p/q where p and q are both positive integers. To start with, 2989.523 can be written as simply 2989.523/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 2989.523, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2989.523/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 2989.523/1 each by 1000:

2989523/10 / 1000/10 = 2989523 / 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 2989.523 as a fraction:

62780/21 / 1

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