Presentation is loading. Please wait.

Presentation is loading. Please wait.

Dividing Fractions & Mixed Numbers. Essential Question: How would you explain the difference between multiplying and dividing fractions? Common Core Obj./Student.

Published byChristopher Lang Modified over 8 years ago

Similar presentations

Presentation on theme: "Dividing Fractions & Mixed Numbers. Essential Question: How would you explain the difference between multiplying and dividing fractions? Common Core Obj./Student."— Presentation transcript:

1 Dividing Fractions & Mixed Numbers

2 Essential Question: How would you explain the difference between multiplying and dividing fractions? Common Core Obj./Student Friendly Terms: ( 6.NS.1) Students will be able to divide fractions and mixed numbers with one and two digit like and unlike denominators with at least 80% accuracy.

3 Dividing Fractions & Mixed NumbersVocabulary Difference Numerator LCD Like Fraction Unlike Fraction Mixed Number LCM Denominator Quotient Sum Product Two numbers whose product is 1 Reciprocal

4 Dividing Fractions & Mixed Numbers What If… Mr. Williams had 4 pizzas and wanted to divide them in half. How many pieces would he have altogether? … 8 pieces What about 4 pizzas cut into 3rds… What about 4 pizzas cut into 4ths… What about 4 pizzas cut into 5ths… What about 4 pizzas cut into 6ths… 4 ÷ 1/3 = 12 pieces 4 ÷ 1/4 = 16 pieces 4 ÷ 1/5 = 20 pieces 4 ÷ 1/6 = 24 pieces

5 Dividing Fractions & Mixed Numbers Think about what you saw on the previous slide…

6 Dividing Fractions & Mixed Numbers Think about what you saw on the previous slide… Division Rules: Fractions/Mixed #’s

7 Dividing Fractions & Mixed Numbers Think about what you saw on the previous slide… Division Rules: Fractions/Mixed #’s (1) Change ALL Mixed Numbers to Improper Fractions

8 Dividing Fractions & Mixed Numbers Think about what you saw on the previous slide… Division Rules: Fractions/Mixed #’s (1) Change ALL Mixed Numbers to Improper Fractions (2) Multiply by the RECIPROCAL of the 2 nd Number

9 Dividing Fractions & Mixed Numbers Think about what you saw on the previous slide… Division Rules: Fractions/Mixed #’s (1) Change ALL Mixed Numbers to Improper Fractions (2) Multiply by the RECIPROCAL of the 2 nd Number OR

10 Dividing Fractions & Mixed Numbers Think about what you saw on the previous slide… Division Rules: Fractions/Mixed #’s (1) Change ALL Mixed Numbers to Improper Fractions (2) Multiply by the RECIPROCAL of the 2 nd Number OR KEEP IT…CHANGE IT…FLIP IT

11 Dividing Fractions & Mixed Numbers Think about what you saw on the previous slide… Division Rules: Fractions/Mixed #’s (1) Change ALL Mixed Numbers to Improper Fractions (2) Multiply by the RECIPROCAL of the 2 nd Number OR KEEP IT…CHANGE IT…FLIP IT (3) Follow Multiplication Rules

12 Example #1: Find 1 / 6 ÷ 3 / 4 Dividing Fractions & Mixed Numbers

13 Example #1: Find 1 / 6 ÷ 3 / 4 34 16÷ Dividing Fractions & Mixed Numbers

14 Example #1: Find 1 / 6 ÷ 3 / 4 Keep It Change It Flip It 34 16÷ Dividing Fractions & Mixed Numbers

15 Example #1: Find 1 / 6 ÷ 3 / 4 Keep It Change It Flip It 43 X 16 34 16÷ Dividing Fractions & Mixed Numbers

16 Example #1: Find 1 / 6 ÷ 3 / 4 Keep It Change It Flip It 43 X 16 = 34 16 1 x 4 6 x 3 ÷ Dividing Fractions & Mixed Numbers

17 Example #1: Find 1 / 6 ÷ 3 / 4 Keep It Change It Flip It 43 X 16 = 34 16 4 _ 4 _18 1 x 4 6 x 3 = ÷ Dividing Fractions & Mixed Numbers

18 Example #1: Find 1 / 6 ÷ 3 / 4 Keep It Change It Flip It 43 X 16 = 34 16 4 _ 4 _18 = 1 x 4 6 x 3 = 29 ÷ Dividing Fractions & Mixed Numbers

19 Example #1: Find 1 / 6 ÷ 3 / 4 Keep It Change It Flip It 43 X 16 = 34 16 4 _ 4 _18 = 1 x 4 6 x 3 = 29 ÷ 1 x 2 x 2 2 x 3 x 3 = Dividing Fractions & Mixed Numbers

20 Example #1: Find 1 / 6 ÷ 3 / 4 Keep It Change It Flip It 43 X 16 = 34 16 4 _ 4 _18 = 1 x 4 6 x 3 = 29 ÷ 1 x 2 x 2 2 x 3 x 3 = Dividing Fractions & Mixed Numbers

21 Example #1: Find 1 / 6 ÷ 3 / 4 Keep It Change It Flip It 43 X 16 = 34 16 4 _ 4 _18 = 1 x 4 6 x 3 = 29 ÷ 1 x 2 x 2 2 x 3 x 3 == 29 Dividing Fractions & Mixed Numbers

22 Example #2: Find 2 / 3 ÷ 3 / 8 Dividing Fractions & Mixed Numbers

23 Example #2: Find 2 / 3 ÷ 3 / 8 38 23÷ Dividing Fractions & Mixed Numbers

24 Example #2: Find 2 / 3 ÷ 3 / 8 Keep It Change It Flip It 38 23÷ Dividing Fractions & Mixed Numbers

25 Example #2: Find 2 / 3 ÷ 3 / 8 Keep It Change It Flip It 83 X 23 38 23÷ Dividing Fractions & Mixed Numbers

26 Example #2: Find 2 / 3 ÷ 3 / 8 Keep It Change It Flip It 83 X 23 = 38 23 2 x 8 3 x 3 ÷ Dividing Fractions & Mixed Numbers

27 Example #2: Find 2 / 3 ÷ 3 / 8 Keep It Change It Flip It 83 X 23 = 38 23 16 9 2 x 8 3 x 3 = ÷ Dividing Fractions & Mixed Numbers

28 Example #2: Find 2 / 3 ÷ 3 / 8 Keep It Change It Flip It 83 X 23 = 38 23 16 9 = 2 x 8 3 x 3 = 79 ÷ 1 Dividing Fractions & Mixed Numbers

29 Independent Practice: Simplify (1) 1 / 4 ÷ 3 / 8 (2) 1 / 4 ÷ 1 / 2 (3) 4 ÷ 3 / 4 (4) 5 / 8 ÷ 3 / 4 (5) 5 / 6 ÷ 5 / 6 Dividing Fractions & Mixed Numbers

30 Independent Practice: Answers (1) 2 / 3 (2) 1 / 2 (3) 5 1 / 3 (4) 5 / 6 (5) 1 Dividing Fractions & Mixed Numbers

31 Real World: If Marquis has 5 / 8 of a pizza left over from dinner. If he wants to divide it between himself and four friends, what is the fractional part of the original pizza would each person get? 5 / 8 ÷ 5 = 5 / 8 ÷ 5 / 1 = 5 / 8 x 1 / 5 1 / 8 of the pizza Dividing Fractions & Mixed Numbers

32 Example #3: Find 2 2 / 3 ÷ 3 1 / 2 Dividing Fractions & Mixed Numbers

33 Example #3: Find 2 2 / 3 ÷ 3 1 / 2 1223 23 ÷ Dividing Fractions & Mixed Numbers

34 Example #3: Find 2 2 / 3 ÷ 3 1 / 2 1223 23 ÷ 72 ÷ 83 Dividing Fractions & Mixed Numbers

35 Example #3: Find 2 2 / 3 ÷ 3 1 / 2 1223 23 ÷ 72 ÷ 83 27 x 83 = Dividing Fractions & Mixed Numbers

36 Example #3: Find 2 2 / 3 ÷ 3 1 / 2 = 8 x 2 3 x 7 1223 23 ÷ 72 ÷ 83 27 x 83 = Dividing Fractions & Mixed Numbers

37 = 8 x 2 3 x 7 1223 23 ÷ 72 ÷ 83 27 x 83 = 1621 = Dividing Fractions & Mixed Numbers Example #3: Find 2 2 / 3 ÷ 3 1 / 2

38 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 Dividing Fractions & Mixed Numbers

39 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 2512 42 ÷ Dividing Fractions & Mixed Numbers

40 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 2512 42 ÷ 12 5 ÷ 92 Dividing Fractions & Mixed Numbers

41 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 2512 42 ÷ 12 5 ÷ 92 512 x 92 = Dividing Fractions & Mixed Numbers

42 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 = 9 x 5 9 x 5 2 x 12 2512 42 ÷ 12 5 ÷ 92 512 x 92 = Dividing Fractions & Mixed Numbers

43 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 = 9 x 5 9 x 5 2 x 12 2512 42 ÷ 12 5 ÷ 92 512 x 92 = 4524 = Dividing Fractions & Mixed Numbers

44 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 = 9 x 5 9 x 5 2 x 12 = 78 2512 42 ÷ 12 5 ÷ 92 512 x 92 = 4524 = 1 Dividing Fractions & Mixed Numbers

45 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 = 9 x 5 9 x 5 2 x 12 = 78 2512 42 ÷ 12 5 ÷ 92 512 x 92 = 4524 = = 3 x 3 x 5 2 x 3 x 4 1 Dividing Fractions & Mixed Numbers

46 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 = 9 x 5 9 x 5 2 x 12 = 78 2512 42 ÷ 12 5 ÷ 92 512 x 92 = 4524 = = 3 x 3 x 5 2 x 3 x 4 1 Dividing Fractions & Mixed Numbers

47 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 = 9 x 5 9 x 5 2 x 12 = 78 2512 42 ÷ 12 5 ÷ 92 512 x 92 = 4524 = = 3 x 3 x 5 2 x 3 x 4 = 15 8 1 Dividing Fractions & Mixed Numbers

48 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 = 9 x 5 9 x 5 2 x 12 = 78 2512 42 ÷ 12 5 ÷ 92 512 x 92 = 4524 = = 3 x 3 x 5 2 x 3 x 4 = 15 8 1 = 78 1 Dividing Fractions & Mixed Numbers

49 Independent Practice: Simplify (1) 2 / 5 ÷ 1 1 / 12 (2) 2 4 / 9 ÷ 1 1 / 9 (3) 3 1 / 6 ÷ 1 / 3 (4) 2 2 / 5 ÷ 1 1 / 11 Dividing Fractions & Mixed Numbers

50 Independent Practice: Answers (1) 24 / 65 (2) 2 1 / 5 (3) 9 1 / 2 (4) 2 1 / 5 Dividing Fractions & Mixed Numbers

51 Real World: A sand mosaic requires 1/4 cups of sand per project. If there are 3 3/4 cups of sand per bag, how many mosaics can be completed using just one bag? 15 sand mosaics Dividing Fractions & Mixed Numbers

52 HOMEWORK p.224-225 #30-40, even, 51-53, all

Download ppt "Dividing Fractions & Mixed Numbers. Essential Question: How would you explain the difference between multiplying and dividing fractions? Common Core Obj./Student."

Similar presentations

Test Review The test will be on the following: Improper to Mixed

Test Review The test will be on the following: Improper to Mixed
Fractions.  The Numerator is the number on top  The Denominator is the number on bottom  The Factors of a number are those numbers that will divide.

Fractions.  The Numerator is the number on top  The Denominator is the number on bottom  The Factors of a number are those numbers that will divide.
Warm-Up. Quote: He _______ has ______ is ______ ______! ~______~

Warm-Up. Quote: He _______ has ______ is ______ ______! ~______~
1.2 Fractions!!!.

1.2 Fractions!!!.
3.4 Dividing Rational Numbers. Multiplicative Inverse Two numbers whose product is 1 Reciprocals.

3.4 Dividing Rational Numbers. Multiplicative Inverse Two numbers whose product is 1 Reciprocals.
Fractions Day 4.

Fractions Day 4.
3.3-Multiplication and Division with Mixed Numbers MATH 081 CATHERINE CONWAY.

3.3-Multiplication and Division with Mixed Numbers MATH 081 CATHERINE CONWAY.
Dividing Fractions & Mixed Numbers. Objective: 7.1.02 To develop fluency in +, –, x, and ÷ of non-negative rational numbers. Essential Question: How do.

Dividing Fractions & Mixed Numbers. Objective: To develop fluency in +, –, x, and ÷ of non-negative rational numbers. Essential Question: How do.
 Two boys decided to share a pizza. Johnny ate ½ of the original pizza. Jimmy ate ½ of what was left. How much of the pizza remains? (Hint: Draw a picture.)

 Two boys decided to share a pizza. Johnny ate ½ of the original pizza. Jimmy ate ½ of what was left. How much of the pizza remains? (Hint: Draw a picture.)
Adding, Subtracting, Multiplying, and Dividing Fractions 3-5, 3-6, 3-7

Adding, Subtracting, Multiplying, and Dividing Fractions 3-5, 3-6, 3-7
Example 3 Dividing Mixed Numbers ÷ 3 1 6 2 6 5 – 3 19 = 17 6 – Multiply by the reciprocal of 17 6 – 6 – = 3 () 6 – 19 Use rule for multiplying fractions.

Example 3 Dividing Mixed Numbers ÷ – 3 19 = 17 6 – Multiply by the reciprocal of 17 6 – 6 – = 3 () 6 – 19 Use rule for multiplying fractions.
35 Adding Fractions Add 1 1 2 Estimate the sum x = 5 5 8 8 40 32 40 67 = 12740 Find the least common denominator ~...(find the LCM of 8 and 5).. ~ 8:

35 Adding Fractions Add Estimate the sum x = = Find the least common denominator ~...(find the LCM of 8 and 5).. ~ 8:
35 Adding Fractions Add 1 1 2 Estimate the sum x = 5 5 8 8 40 32 40 67 = 12740 Find the least common denominator ~...(find the LCM of 8 and 5).. ~ 8:

35 Adding Fractions Add Estimate the sum x = = Find the least common denominator ~...(find the LCM of 8 and 5).. ~ 8:
Unit 9 Dividing Fractions. Warm-up: 1. ¾ x 2/5 2. 2/3 x 3 ½ 3. 4 ¼ x 2 ½.

Unit 9 Dividing Fractions. Warm-up: 1. ¾ x 2/5 2. 2/3 x 3 ½ 3. 4 ¼ x 2 ½.
Multiplying Mixed Numbers and Fractions Lesson 6.3.

Multiplying Mixed Numbers and Fractions Lesson 6.3.
Dividing Fractions and Mixed Numbers Objective: Learn to divide fractions and mixed numbers.

Dividing Fractions and Mixed Numbers Objective: Learn to divide fractions and mixed numbers.
Warm up #7 1-3.5 (-24) =4.) 2.5(-26) = 2-7(-8)(-3) = 5.) -5(9)(-2) = 3.

Warm up # (-24) =4.) 2.5(-26) = 2-7(-8)(-3) = 5.) -5(9)(-2) = 3.
Operations with Fractions. Adding and Subtracting Fractions.

Operations with Fractions. Adding and Subtracting Fractions.
MULTIPLY and DIVIDE RATIONAL NUMBERS. MULTPILYING MIXED NUMBERS 1)Change all Mixed numbers to improper fractions 2)Simplify A) Up and Down B) Diagonally.

MULTIPLY and DIVIDE RATIONAL NUMBERS. MULTPILYING MIXED NUMBERS 1)Change all Mixed numbers to improper fractions 2)Simplify A) Up and Down B) Diagonally.
Rational Expressions – Product & Quotient PRODUCT STEPS : 1. Factor ( if needed ) 2. Simplify any common factors QUOTIENT STEPS : 1. Change the problem.

Rational Expressions – Product & Quotient PRODUCT STEPS : 1. Factor ( if needed ) 2. Simplify any common factors QUOTIENT STEPS : 1. Change the problem.

Similar presentations

Ads by Google