Division Expressions with Fractions and Mixed Numbers

6.NOS.1 · Unit 6 · Lesson 2

Name   Period

Objectives / Objetivos

Content Objective: I can divide a fraction by a fraction and divide with mixed numbers by multiplying by the reciprocal.

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

Key Idea / Idea clave

Dividing Fractions Algorithm (Keep, Change, Flip). Formula: a/b ÷ c/d = a/b × d/c. 1. Keep the first fraction unchanged. 2. Change the division symbol (÷) to multiplication (×). 3. Flip the second fraction to its reciprocal (d/c), then multiply across and simplify

I Notice / Observo

  • What is the total weight being divided?
  • What is the size of each portion?

I Wonder / Me pregunto

  • How is dividing fractions different from multiplying them?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Divide Fractions
Dividir fracciones		Multiply the first fraction by the reciprocal of the second fraction.
Multiplicar la primera fracción por el recíproco de la segunda fracción.
Dividend
Dividendo		The total number being divided into equal groups (the number inside the division bracket).
El número total que se divide en partes iguales (el número dentro de la casilla de división).
Divisor
Divisor		The number of equal groups you are dividing into (the number outside the division bracket).
El número de partes iguales en las que divides (el número fuera de la casilla de división).
Reciprocal
Recíproco		A fraction turned upside down.
Una fracción volteada de arriba abajo.
Quotient
Cociente		The answer when you divide.
La respuesta cuando divides.
Simplify
Simplificar		To write a fraction with smaller numbers that names the same amount, like 2/4 = 1/2.
Escribir una fracción con números más pequeños que nombra la misma cantidad, como 2/4 = 1/2.

Practice Preview / Vista previa de práctica

  1. What is the reciprocal of 3/5?
    1. 5/3
    2. 3/5
    3. 5/5
    4. 1/3
  2. Divide each pair of fractions using Keep, Change, Flip.
  3. Match each fraction division to its quotient.
  4. Find the Division Error
    1. Step 1: Problem — 2/5 ÷ 3/4
    2. Step 2: Keep, Change, Flip — 2/5 × 3/4
    3. Step 3: Multiply — 6/20
    4. Step 4: Simplify — 3/10

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

Reflection / Reflexión

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