Dividing Fractions Unit 2 Lesson 1 Math 6
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Dividing Fractions
Unit 2 Lesson 1
Math 6
Dividing Fractions
Students will be able to:
Interpret and compute quotients of fractions.
Solve word problems involving division of fractions by fractions.
Dividing Fractions
Key Vocabulary:
Fraction
Divisor
Dividend
Quotient
Dividing Fractions
Dividing by a fraction is the same as multiplying by
its reciprocal.
To divide fractions take the reciprocal (invert the
fraction) of the divisor and multiply the dividend.
Division rule of two fractions
𝒂
𝒃÷
𝒄
𝒅=
𝒂
𝒃∗𝒅
𝒄=
𝒂∗𝒅
𝒃∗𝒄.
Dividing Fractions
Example: How many units of𝟐
𝟓can you see in
𝟒
𝟓?
𝟐
𝟓
𝟐
𝟓
𝟒
𝟓
Dividing Fractions
Example: How many units of𝟐
𝟓can you see in
𝟒
𝟓?
𝟒
𝟓÷𝟐
𝟓=𝟒
𝟓∗𝟓
𝟐=𝟒 ∗ 𝟓
𝟓 ∗ 𝟐=𝟒
𝟐= 𝟐 𝒖𝒏𝒊𝒕𝒔
Dividing Fractions
Sample Problem 1: Draw a model to solve.
a. How many units of 𝟏
𝟒can you see in
𝟑
𝟒?
Dividing Fractions
Sample Problem 1: Draw a model to solve.
a. How many units of 𝟏
𝟒can you see in
𝟑
𝟒?
𝟑
𝟒
𝟏
𝟒𝟏
𝟒
𝟏
𝟒
Dividing Fractions
Sample Problem 1: Draw a model to solve.
a. How many units of 𝟏
𝟒can you see in
𝟑
𝟒?
𝟑
𝟒÷𝟏
𝟒=𝟑
𝟒∗𝟒
𝟏=𝟑 ∗ 𝟒
𝟒 ∗ 𝟏= 𝟑 𝒖𝒏𝒊𝒕𝒔
Dividing Fractions
Sample Problem 1: Draw a model to solve.
b. How many units of 𝟏
𝟖can you see in
𝟕
𝟖?
Dividing Fractions
Sample Problem 1: Draw a model to solve.
b. How many units of 𝟏
𝟖can you see in
𝟕
𝟖?
𝟕
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
Dividing Fractions
Sample Problem 1: Draw a model to solve.
b. How many units of 𝟏
𝟖can you see in
𝟕
𝟖?
𝟕
𝟖÷𝟏
𝟖=𝟕
𝟖∗𝟖
𝟏=𝟕 ∗ 𝟖
𝟖 ∗ 𝟏= 𝟕 𝒖𝒏𝒊𝒕𝒔
Dividing Fractions
Sample Problem 2: Find each quotient.
a.𝟐
𝟑÷𝟏
𝟐=
Dividing Fractions
Sample Problem 2: Find each quotient.
a.𝟐
𝟑÷𝟏
𝟐=𝟐
𝟑∗𝟐
𝟏=𝟐 ∗ 𝟐
𝟑 ∗ 𝟏=𝟒
𝟑
Dividing Fractions
Sample Problem 2: Find each quotient.
b.𝟏
𝟒÷𝟐
𝟒=
Dividing Fractions
Sample Problem 2: Find each quotient.
b.𝟏
𝟒÷𝟐
𝟒=𝟏
𝟒∗𝟒
𝟐=𝟏 ∗ 𝟒
𝟒 ∗ 𝟐=𝟏
𝟐
Dividing Fractions
Sample Problem 2: Find each quotient.
c.𝟏
𝟑÷𝟐
𝟗=
Dividing Fractions
Sample Problem 2: Find each quotient.
c.𝟏
𝟑÷𝟐
𝟗=𝟏
𝟑∗𝟗
𝟐=𝟏 ∗ 𝟗
𝟑 ∗ 𝟐=𝟑
𝟐
Dividing Fractions
Sample Problem 2: Find each quotient.
d.𝟏
𝟐÷𝟑
𝟒=
Dividing Fractions
Sample Problem 2: Find each quotient.
d.𝟏
𝟐÷𝟑
𝟒=
𝟏
𝟐∗𝟒
𝟑=𝟏 ∗ 𝟒
𝟐 ∗ 𝟑=𝟐
𝟑
Dividing Fractions
Sample Problem 3: Solve each problem.
a. Diana has𝟏
𝟑of a bag of dog food. Her dog eats
𝟏
𝟔of
a bag per week. How many weeks will the food last?
Dividing Fractions
Sample Problem 3: Solve each problem.
a. Diana has𝟏
𝟑of a bag of dog food. Her dog eats
𝟏
𝟔of
a bag per week. How many weeks will the food last?
𝟏
𝟑÷𝟏
𝟔=𝟏
𝟑∗𝟔
𝟏=𝟏 ∗ 𝟔
𝟑 ∗ 𝟏= 𝟐
𝟐 𝐰𝐞𝐞𝐤𝐬
Dividing Fractions
Sample Problem 3: Solve each problem.
b. How many halves are there in six-fourth?
Dividing Fractions
Sample Problem 3: Solve each problem.
b. How many halves are there in six-fourth?
𝟔
𝟒÷𝟏
𝟐=𝟔
𝟒∗𝟐
𝟏=𝟔 ∗ 𝟐
𝟒 ∗ 𝟏=
𝟔 ∗ 𝟐
𝟐 ∗ 𝟐 ∗ 𝟏=𝟔
𝟐
There are 6 halves in six-fourth.
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