How to convert 43.5413 as a fraction

Question: What is 43.5413 as a fraction?


Answer: 43.5413 as a fraction is 4746/109


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How to convert 43.5413 as a fraction?

Solution:43.5413 as a fraction is 4746/109

Step 1:

The first step to converting 43.5413 to a fraction is to re-write 43.5413 in the form p/q where p and q are both positive integers. To start with, 43.5413 can be written as simply 43.5413/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 43.5413, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 43.5413/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 43.5413/1 each by 10000:

435413/10 / 10000/10 = 435413 / 10000

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 43.5413 as a fraction:

4746/109 / 1

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