How to convert 490.78213815638 as a fraction

Question: What is 490.78213815638 as a fraction?


Answer: 490.78213815638 as a fraction is 11288/23


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How to convert 490.78213815638 as a fraction?

Solution:490.78213815638 as a fraction is 11288/23

Step 1:

The first step to converting 490.78213815638 to a fraction is to re-write 490.78213815638 in the form p/q where p and q are both positive integers. To start with, 490.78213815638 can be written as simply 490.78213815638/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 490.78213815638, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 490.78213815638/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 490.78213815638/1 each by 100000000000:

49078213815638/10 / 100000000000/10 = 49078213815638 / 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 490.78213815638 as a fraction:

11288/23 / 1

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