How to convert 3.0789 as a fraction

Question: What is 3.0789 as a fraction?


Answer: 3.0789 as a fraction is 1678/545


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How to convert 3.0789 as a fraction?

Solution:3.0789 as a fraction is 1678/545

Step 1:

The first step to converting 3.0789 to a fraction is to re-write 3.0789 in the form p/q where p and q are both positive integers. To start with, 3.0789 can be written as simply 3.0789/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.0789, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.0789/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.0789/1 each by 10000:

30789/10 / 10000/10 = 30789 / 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 3.0789 as a fraction:

1678/545 / 1

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