Dividing Fractions & Mixed Numbers

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Example #3: Find 2 2 / 3 ÷ 3 1 / 2 = 8 x 2 3 x ÷ 72 ÷ x 83 = Dividing Fractions & Mixed Numbers

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

HOMEWORK p #30-40, even, 51-53, all