How to convert 355.313 as a fraction

Question: What is 355.313 as a fraction?


Answer: 355.313 as a fraction is 40861/115


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How to convert 355.313 as a fraction?

Solution:355.313 as a fraction is 40861/115

Step 1:

The first step to converting 355.313 to a fraction is to re-write 355.313 in the form p/q where p and q are both positive integers. To start with, 355.313 can be written as simply 355.313/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 355.313, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 355.313/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 355.313/1 each by 1000:

355313/10 / 1000/10 = 355313 / 1000

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 355.313 as a fraction:

40861/115 / 1

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