How to convert 457.46948894542 as a fraction

Question: What is 457.46948894542 as a fraction?


Answer: 457.46948894542 as a fraction is 22416/49


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How to convert 457.46948894542 as a fraction?

Solution:457.46948894542 as a fraction is 22416/49

Step 1:

The first step to converting 457.46948894542 to a fraction is to re-write 457.46948894542 in the form p/q where p and q are both positive integers. To start with, 457.46948894542 can be written as simply 457.46948894542/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 457.46948894542, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 457.46948894542/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 457.46948894542/1 each by 100000000000:

45746948894542/10 / 100000000000/10 = 45746948894542 / 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 457.46948894542 as a fraction:

22416/49 / 1

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