Converting between improper fractions and mixed numbers

Task goals

• Convert an improper fraction to a mixed number by dividing the numerator by the denominator and writing the remainder as the new numerator.
• Convert a mixed number to an improper fraction by multiplying the whole number by the denominator and adding the original numerator.
• Explain each step of an improper-to-mixed or mixed-to-improper conversion in words, not just state the answer.
• Apply the conversion to a real-world measurement or recipe context where an improper fraction and a mixed number describe the same quantity.