Convert 5 8/12 to an improper fraction. Write your answer in simplest form.
To convert the mixed number 5 8/12 to an improper fraction, we first need to convert the whole number part to a fraction. Since 5 is the same as 5/1, we can rewrite the mixed number as 5/1 + 8/12.
Next, we need to find a common denominator for the fractions. The common denominator between 1 and 12 is 12. We can rewrite 5/1 as 60/12 (by multiplying the numerator and denominator by 12) and 8/12 as 8/12 (since the denominator is already 12).
Now, we can add the two fractions: 60/12 + 8/12 = 68/12.
The improper fraction 68/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4.
Dividing 68 by 4 gives 17, and dividing 12 by 4 gives 3. So, the simplified improper fraction is 17/3.