How to convert 1002.1412 as a fraction

Question: What is 1002.1412 as a fraction?


Answer: 1002.1412 as a fraction is 85182/85


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How to convert 1002.1412 as a fraction?

Solution:1002.1412 as a fraction is 85182/85

Step 1:

The first step to converting 1002.1412 to a fraction is to re-write 1002.1412 in the form p/q where p and q are both positive integers. To start with, 1002.1412 can be written as simply 1002.1412/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1002.1412, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1002.1412/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1002.1412/1 each by 10000:

10021412/10 / 10000/10 = 10021412 / 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 1002.1412 as a fraction:

85182/85 / 1

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