How to convert 494.7725 as a fraction

Question: What is 494.7725 as a fraction?


Answer: 494.7725 as a fraction is 10885/22


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How to convert 494.7725 as a fraction?

Solution:494.7725 as a fraction is 10885/22

Step 1:

The first step to converting 494.7725 to a fraction is to re-write 494.7725 in the form p/q where p and q are both positive integers. To start with, 494.7725 can be written as simply 494.7725/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 494.7725, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 494.7725/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 494.7725/1 each by 10000:

4947725/10 / 10000/10 = 4947725 / 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 494.7725 as a fraction:

10885/22 / 1

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