How to convert 458.29149286742 as a fraction

Question: What is 458.29149286742 as a fraction?


Answer: 458.29149286742 as a fraction is 10999/24


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How to convert 458.29149286742 as a fraction?

Solution:458.29149286742 as a fraction is 10999/24

Step 1:

The first step to converting 458.29149286742 to a fraction is to re-write 458.29149286742 in the form p/q where p and q are both positive integers. To start with, 458.29149286742 can be written as simply 458.29149286742/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 458.29149286742, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 458.29149286742/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 458.29149286742/1 each by 100000000000:

45829149286742/10 / 100000000000/10 = 45829149286742 / 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 458.29149286742 as a fraction:

10999/24 / 1

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