Convert between improper fractions and mixed numbers

Learning Objectives Define the terms improper fraction and mixed number. Identify whether a fraction is improper or a mixed number. Convert an improper fraction into a mixed number using division. Convert a mixed number into an improper fraction using multiplication and addition. Represent improper fractions and mixed numbers using visual models like area models or number lines. Explain why an improper fraction and its equivalent mixed number represent the same value. If you have 11 cookies to share equally among 4 friends, how can you describe the amount each friend gets? 🍪 In this lesson, we will explore two different ways to write fractions that are greater than one whole: improper fractions and mixed numbers. You will learn how to switch back and forth between them, wh...

TermDefinitionExample Mixed NumberA number that is made up of a whole number and a proper fraction combined.2 ½ (two and one-half) Improper FractionA fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number).5/2 (five-halves) NumeratorThe top number in a fraction. It tells you how many parts you have.In the fraction 3/4, the numerator is 3. DenominatorThe bottom number in a fraction. It tells you how many equal parts the whole is divided into.In the fraction 3/4, the denominator is 4. Whole NumberA number without any fractions or decimals, like 0, 1, 2, 3, and so on.In the mixed number 2 ½, the whole number is 2. Proper FractionA fraction where the numerator is smaller than the denominator. It is always less than one whole.1/4

Converting an Improper Fraction to a Mixed Number Whole Number = Numerator ÷ Denominator (quotient) \newline New Numerator = Remainder \newline Mixed Number = Whole Number \frac{Remainder}{Original Denominator} Use this rule when you have an improper fraction and need to find its equivalent mixed number. You divide the top number by the bottom number. Converting a Mixed Number to an Improper Fraction New Numerator = (Whole Number × Denominator) + Numerator \newline Improper Fraction = \frac{New Numerator}{Original Denominator} Use this rule when you have a mixed number and need to find its equivalent improper fraction. You multiply the whole number by the denominator and then add the numerator.