How to convert 442.1947 as a fraction

Question: What is 442.1947 as a fraction?


Answer: 442.1947 as a fraction is 15919/36


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How to convert 442.1947 as a fraction?

Solution:442.1947 as a fraction is 15919/36

Step 1:

The first step to converting 442.1947 to a fraction is to re-write 442.1947 in the form p/q where p and q are both positive integers. To start with, 442.1947 can be written as simply 442.1947/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 442.1947, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 442.1947/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 442.1947/1 each by 10000:

4421947/10 / 10000/10 = 4421947 / 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 442.1947 as a fraction:

15919/36 / 1

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