Divide Mixed Numbers

6.NOS.1 · Unit 2 · Lesson 4

Name   Period

Objectives / Objetivos

Content Objective: I can divide mixed numbers by first changing them to improper fractions.

Language Objective: I can explain my steps using the words mixed number, improper fraction, convert, reciprocal, and simplify.

Key Idea / Idea clave

Always convert a mixed number to an improper fraction first, then divide using Keep, Change, Flip.

I Notice / Observo

  • What is the total distance of the route?
  • How long is each segment?

I Wonder / Me pregunto

  • Why do we need to convert mixed numbers before dividing?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Mixed Number
Número mixto		A whole number plus a fraction, like 2 1/3.
Un número entero más una fracción, como 2 1/3.
Improper Fraction
Fracción impropia		A fraction where the top is bigger than or equal to the bottom, like 7/4.
Una fracción donde el número de arriba es mayor o igual al de abajo, como 7/4.
Convert
Convertir		To change a number to a new form but keep the same value.
Cambiar un número a otra forma sin cambiar su valor.
Simplify
Simplificar		To make a fraction smaller using the same parts, like 2/4 = 1/2.
Hacer una fracción más pequeña con las mismas partes, como 2/4 = 1/2.
Reciprocal
Recíproco		A fraction turned upside down. You use it in keep-change-flip.
Una fracción volteada de arriba abajo. Se usa en deja-cambia-voltea.

Practice Preview / Vista previa de práctica

  1. What is 1 1/2 ÷ 3/4?
    1. 2
    2. 1 1/8
    3. 3/4
    4. 9/8
  2. Convert each mixed number to an improper fraction, then divide.
  3. Match each mixed number division to its quotient.
  4. Find the Mixed Number Error
    1. Step 1: Problem — 2 1/3 ÷ 1/2
    2. Step 2: Convert — 2 1/3 = 6/3
    3. Step 3: Keep, Change, Flip — 6/3 × 2/1
    4. Step 4: Multiply — 12/3 = 4

    Which step has the mistake? Explain it and write the correct work.

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: