Chapter 7 Multiplying Fractions MAFS.5.NF.2.4; MAFS.5.NF.2.5 ; MAFS.5.NF.2.6 https://www.youtube.com/watch?v=CcDGRLosAf0&feature=youtu.be

Ch 7 Vocabulary 6. simplest form​ a fraction in which 1 is the only number that can divide evenly into the numerator and the denominator 1. denominator​ the number below the bar in a fraction that tells how many equal parts are in the whole or in the group 2. equivalent fractions​ fractions that name the same amount or part 3. mixed number​ a number that is made up of a whole number and a fraction 4. numerator​ the number above the bar in a fraction that tells how many equal parts of the whole are being considered 5. product​ the answer to a multiplication problem

Convert mixed numbers to improper fractions Rules Step 1: Multiply the denominator by the whole number. Step 2: Add the numerator. This is your new numerator. Step 3: New numerator over the original denominator. Example: 3 ¼ = 13/4 2 ½ = 5/2

Khan Academy Video Intro to Multiplying Fractions https://www.khanacademy.org/math/arithmetic/fraction- arithmetic/arith-review-multiply-fractions/v/multiplying-a- fraction-by-a-fraction OF means MULTIPLY

Multiplying Fractions (Old School) Rules Step 1: Multiply the numerators. Step 2: Multiply the denominators. Step 3: Convert to mixed number, if necessary. **If you start with a mixed number, change it to an improper fraction before you multiply. ½ x ¾ = 1 x 3 = 3 2 x 4 = 8 Product is ⅜. 2 ¼ x ⅛ = 9/4 x ⅛ = Product is 9/32.

Multiplying Fractions Cont’d ¾ x 7/10 = 2. 4/7 x ⅚ = 3. 3 ½ x 5 2/8 = 4. ⅛ x 4 ⅚ =

Multiplying Fractions To Find ARea To find an area of an object, you multiply length x width. What is the area of the object below? 3/7 unit 2/4 unit 2. Find the area of the figure below. 2/16 Unit ⅞ unit

Multiplying a Fraction by a Whole Number (Old School) Rules Step 1: Put the whole number over 1. 1 is your denominator. Step 2: Solve. **Change improper fraction to mixed numbers, if necessary. ⅔ x 4 = ⅔ x 4/1 = 8/3 or 2 ⅔

Multiplying fractions by whole numbers cont’d What happens to the product when you... multiply a whole number by a fraction less than a whole? Multiply a number greater than one whole (or improper fraction) 2/6 x 3 = 2. 321 x 1/2 = 3. 34,567 x ⅛ = 4. 526 x 1 ½ =

Fractions Online Game Math Playground https://www.mathplayground.com/fractions_mult.html

Which has a greater value... Select all the expressions that have a value greater than 1,753. A. 1,753 × ¼ B. 1,753 × 4 C. 1,753 × 12 D. 1,753 × 1 ½ 2. Gavin wants to get a product less than 54,321. Select all the numbers below he can multiply 54,321 by. 7/12 4/4 1 ⅕ 2/9 3 8/5

Which has a greater value...Student PRACTICE Select all the expressions that have a value greater than 2,463. A. 2,463 × ¼ B. 2,463 × 4 C. 2,463 × 12 D. 2,463 × 1 ½ 2. Wade wants to get a product less than 34,642. Select all the numbers below he can multiply 34,642 by. 8/12 6/6 2 ⅕ 3/7 4 9/7

Multiplying Fractions with Area Models Rules: (no worries! I will show you what this means) Step 1: Choose a fraction to draw out.(I start with the larger number denominator) Step 2: Shade the numerator. Step 3: Using the same area model, now cut the model into your new denominator. Step 4: Shade in your numerator. Ex: ⅗ x ⅔ https://learnzillion.com/lesson_plans/7895-multiply-fractions-by-fractions-using-area-models\ https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-multiply-fractions/v/visualizing-fraction-products

Area Models cont’d… StuDEnt PractIce ¾ x ⅞ = 3 x ⅓ = Hint* for whole numbers, you draw out separate rectangles. For example, draw three separate rectangles and cut them into thirds. Then shade in ⅓ of each rectangle. 3. ⅖ x ⅔ =

Multiplying Fractions Using a Number Line Rules: Step 1: Draw a number line from 0 to 1. Step 2: Choose a fraction and cut your number line into those sections. Step 3: Using the number line, draw out your other fraction. https://learnzillion.com/lesson_plans/982/ https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/tcc-5th-mult-fract-and-whole/v/multiplying-fractions-by-whole-numbers-on-the-number-line

Number Lines cont’d ¾ x ⅞ = 3 x ⅓ = 3. ⅖ x ⅔ =

Multiplying Fractions using pemdas Order of Operations (PEMDAS) ---> Parentheses, Exponents, Multiplication/Division, Addition/Subtraction Ex 1: 3 × (2/3 − 1/5) Ex 2: 2/3 × (7+9)

Multiplying Fractions using pemdas.. Student Practice Order of Operations (PEMDAS) ---> Parentheses, Exponents, Multiplication/Division, Addition/Subtraction Ex 1: 2 × (3/5 − 2/3) Ex 2: 3/4 × (6+5)

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