How to convert 496.4343 as a fraction

Question: What is 496.4343 as a fraction?


Answer: 496.4343 as a fraction is 11418/23


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How to convert 496.4343 as a fraction?

Solution:496.4343 as a fraction is 11418/23

Step 1:

The first step to converting 496.4343 to a fraction is to re-write 496.4343 in the form p/q where p and q are both positive integers. To start with, 496.4343 can be written as simply 496.4343/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 496.4343, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 496.4343/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 496.4343/1 each by 10000:

4964343/10 / 10000/10 = 4964343 / 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 496.4343 as a fraction:

11418/23 / 1

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