How to convert 314.3848 as a fraction

Question: What is 314.3848 as a fraction?


Answer: 314.3848 as a fraction is 4087/13


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How to convert 314.3848 as a fraction?

Solution:314.3848 as a fraction is 4087/13

Step 1:

The first step to converting 314.3848 to a fraction is to re-write 314.3848 in the form p/q where p and q are both positive integers. To start with, 314.3848 can be written as simply 314.3848/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 314.3848, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 314.3848/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 314.3848/1 each by 10000:

3143848/10 / 10000/10 = 3143848 / 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 314.3848 as a fraction:

4087/13 / 1

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