Lets Express 3.1142 as afraction

What is 3.1142 as a fraction?


Solution: 3.1142 as a fraction is 1009/324


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How to convert 3.1142 as a fraction?

Solution:3.1142 as a fraction is 1009/324

Step 1:

The first step to converting 3.1142 to a fraction is to re-write 3.1142 in the form p/q where p and q are both positive integers. To start with, 3.1142 can be written as simply 3.1142/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.1142, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.1142/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.1142/1 each by 10000:

31142/10 / 10000/10 = 31142 / 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 3.1142 as a fraction:

1009/324 / 1

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