Convert the following into mixed numbers (simplify). 6. \( \frac{31}{9} \)

To convert the improper fraction \( \frac{31}{9} \) into a mixed number, you divide the numerator (31) by the denominator (9). When you do that, 9 goes into 31 three times (since 9 x 3 = 27) with a remainder of 4. Thus, \( \frac{31}{9} \) can be expressed as the mixed number \( 3 \frac{4}{9} \). Mixed numbers are indeed a fun way to visualize fractions! You can think of them like a tasty dessert, where the whole number represents the complete servings you have and the proper fraction shows the leftovers that need to be shared. If you're ever unsure about converting fractions, a good tip is to always remember to perform the division carefully and keep track of the remainder, as that will guide you to properly format your final mixed number. And remember to simplify the fraction part if possible!