How to convert 3.4749 as a fraction

Question: What is 3.4749 as a fraction?


Answer: 3.4749 as a fraction is 3461/996


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How to convert 3.4749 as a fraction?

Solution:3.4749 as a fraction is 3461/996

Step 1:

The first step to converting 3.4749 to a fraction is to re-write 3.4749 in the form p/q where p and q are both positive integers. To start with, 3.4749 can be written as simply 3.4749/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.4749, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.4749/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.4749/1 each by 10000:

34749/10 / 10000/10 = 34749 / 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 3.4749 as a fraction:

3461/996 / 1

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