How to convert 492.3143 as a fraction

Question: What is 492.3143 as a fraction?


Answer: 492.3143 as a fraction is 17231/35


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How to convert 492.3143 as a fraction?

Solution:492.3143 as a fraction is 17231/35

Step 1:

The first step to converting 492.3143 to a fraction is to re-write 492.3143 in the form p/q where p and q are both positive integers. To start with, 492.3143 can be written as simply 492.3143/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 492.3143, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 492.3143/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 492.3143/1 each by 10000:

4923143/10 / 10000/10 = 4923143 / 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 492.3143 as a fraction:

17231/35 / 1

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