How to convert 382.1275 as a fraction

Question: What is 382.1275 as a fraction?


Answer: 382.1275 as a fraction is 17960/47


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How to convert 382.1275 as a fraction?

Solution:382.1275 as a fraction is 17960/47

Step 1:

The first step to converting 382.1275 to a fraction is to re-write 382.1275 in the form p/q where p and q are both positive integers. To start with, 382.1275 can be written as simply 382.1275/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 382.1275, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 382.1275/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 382.1275/1 each by 10000:

3821275/10 / 10000/10 = 3821275 / 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 382.1275 as a fraction:

17960/47 / 1

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