Chapter 7 Multiplying Fractions MAFS5NF24 MAFS5NF25 MAFS5NF26 httpswwwyoutubecomwatchvCcDGRLosAf0ampfeatureyoutube Ch 7 Vocabulary 1 denominator the number below the bar in a fraction that tells how many equal parts are in the whole or in the group ID: 764853
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Chapter 7Multiplying 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 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 part3. 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 6. simplest form a fraction in which 1 is the only number that can divide evenly into the numerator and the denominator
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 unit2/4 unit2. 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 2/6 x 3 = 2. 321 x 1/2 = 3. 34,567 x ⅛ = 4. 526 x 1 ½ = 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)
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
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.
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/SubtractionEx 1: 2 × (3/5 − 2/3) Ex 2: 3/4 × (6+5)
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