How to convert 3.05744 as a fraction

Question: What is 3.05744 as a fraction?


Answer: 3.05744 as a fraction is 1171/383


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How to convert 3.05744 as a fraction?

Solution:3.05744 as a fraction is 1171/383

Step 1:

The first step to converting 3.05744 to a fraction is to re-write 3.05744 in the form p/q where p and q are both positive integers. To start with, 3.05744 can be written as simply 3.05744/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.05744, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.05744/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.05744/1 each by 100000:

305744/10 / 100000/10 = 305744 / 100000

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 3.05744 as a fraction:

1171/383 / 1

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