How to convert 385.9675 as a fraction

Question: What is 385.9675 as a fraction?


Answer: 385.9675 as a fraction is 11965/31


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How to convert 385.9675 as a fraction?

Solution:385.9675 as a fraction is 11965/31

Step 1:

The first step to converting 385.9675 to a fraction is to re-write 385.9675 in the form p/q where p and q are both positive integers. To start with, 385.9675 can be written as simply 385.9675/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 385.9675, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 385.9675/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 385.9675/1 each by 10000:

3859675/10 / 10000/10 = 3859675 / 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 385.9675 as a fraction:

11965/31 / 1

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