How to convert 442.7747 as a fraction

Question: What is 442.7747 as a fraction?


Answer: 442.7747 as a fraction is 17711/40


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How to convert 442.7747 as a fraction?

Solution:442.7747 as a fraction is 17711/40

Step 1:

The first step to converting 442.7747 to a fraction is to re-write 442.7747 in the form p/q where p and q are both positive integers. To start with, 442.7747 can be written as simply 442.7747/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 442.7747, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 442.7747/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 442.7747/1 each by 10000:

4427747/10 / 10000/10 = 4427747 / 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 442.7747 as a fraction:

17711/40 / 1

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