How to convert 17.82742 as a fraction

Question: What is 17.82742 as a fraction?


Answer: 17.82742 as a fraction is 3512/197


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How to convert 17.82742 as a fraction?

Solution:17.82742 as a fraction is 3512/197

Step 1:

The first step to converting 17.82742 to a fraction is to re-write 17.82742 in the form p/q where p and q are both positive integers. To start with, 17.82742 can be written as simply 17.82742/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 17.82742, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 17.82742/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 17.82742/1 each by 100000:

1782742/10 / 100000/10 = 1782742 / 100000

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 17.82742 as a fraction:

3512/197 / 1

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