How to convert 243.7828 as a fraction

Question: What is 243.7828 as a fraction?


Answer: 243.7828 as a fraction is 5607/23


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How to convert 243.7828 as a fraction?

Solution:243.7828 as a fraction is 5607/23

Step 1:

The first step to converting 243.7828 to a fraction is to re-write 243.7828 in the form p/q where p and q are both positive integers. To start with, 243.7828 can be written as simply 243.7828/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 243.7828, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 243.7828/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 243.7828/1 each by 10000:

2437828/10 / 10000/10 = 2437828 / 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 243.7828 as a fraction:

5607/23 / 1

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