Divide Fractions

6.NOS.1 · Unit 2 · Lesson 3

Name   Period

Objectives / Objetivos

Content Objective: I can divide a fraction by a fraction by multiplying by the reciprocal and simplifying.

Language Objective: I can explain my steps using the words dividend, divisor, reciprocal, quotient, and simplify.

Key Idea / Idea clave

To divide fractions, multiply the first fraction by the reciprocal of the second, then simplify the answer.

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
Dividend
Dividendo
The number you are splitting up in a division problem.
El número que estás repartiendo en una división.
Divisor
Divisor
The number you split by in a division problem.
El número entre el que divides en una 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 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.

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: