How to convert 976.5218749549 as a fraction

Question: What is 976.5218749549 as a fraction?


Answer: 976.5218749549 as a fraction is 22460/23


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How to convert 976.5218749549 as a fraction?

Solution:976.5218749549 as a fraction is 22460/23

Step 1:

The first step to converting 976.5218749549 to a fraction is to re-write 976.5218749549 in the form p/q where p and q are both positive integers. To start with, 976.5218749549 can be written as simply 976.5218749549/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 976.5218749549, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 976.5218749549/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 976.5218749549/1 each by 10000000000:

9765218749549/10 / 10000000000/10 = 9765218749549 / 10000000000

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 976.5218749549 as a fraction:

22460/23 / 1

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