How to convert 1983.312 as a fraction

Question: What is 1983.312 as a fraction?


Answer: 1983.312 as a fraction is 31733/16


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How to convert 1983.312 as a fraction?

Solution:1983.312 as a fraction is 31733/16

Step 1:

The first step to converting 1983.312 to a fraction is to re-write 1983.312 in the form p/q where p and q are both positive integers. To start with, 1983.312 can be written as simply 1983.312/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1983.312, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1983.312/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1983.312/1 each by 1000:

1983312/10 / 1000/10 = 1983312 / 1000

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 1983.312 as a fraction:

31733/16 / 1

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