How to convert 46.281741634354 as a fraction

Question: What is 46.281741634354 as a fraction?


Answer: 46.281741634354 as a fraction is 11663/252


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How to convert 46.281741634354 as a fraction?

Solution:46.281741634354 as a fraction is 11663/252

Step 1:

The first step to converting 46.281741634354 to a fraction is to re-write 46.281741634354 in the form p/q where p and q are both positive integers. To start with, 46.281741634354 can be written as simply 46.281741634354/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 46.281741634354, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 46.281741634354/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 46.281741634354/1 each by 1000000000000:

46281741634354/10 / 1000000000000/10 = 46281741634354 / 1000000000000

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 46.281741634354 as a fraction:

11663/252 / 1

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