MULTIPLYING FRACTIONS

Slides:



Advertisements
Similar presentations
1 STANDARD 1.2 DIVIDING FRACTIONS PROBLEM 1 PROBLEM 3 PROBLEM 2 PROBLEM 4 A pizza riddle? What is the rule to divide fractions? END SHOW PRESENTATION CREATED.
Advertisements

Fractions Review.
Copyright © 2005 Pearson Education, Inc. 5.3 The Rational Numbers.
Converting Mixed and Improper Fractions
3 4 Numerator Denominator A fraction represents the number of equal parts of a whole numerator denominator Numerator = Number of equal parts shaded or.
2. Estimating Fractions and Mixed Numbers
DIVIDING RATIONAL NUMBERS
Fractions Day 4.
STANDARD 1.2 DIVIDING A DECIMAL INTO A DECIMAL DIVIDING INTO A DECIMAL ALL STEPS TOGETHER DIVIDING INTO A DECIMAL MODELING 2 DIVIDING INTO A DECIMAL MODELING.
3.3-Multiplication and Division with Mixed Numbers MATH 081 CATHERINE CONWAY.
Four tenths of five tenths?
Unit 1: Number Sense Minds On. Unit 1: Number Sense Learning Goals: I can convert between mixed and improper fractions I can perform all four operations.
Mixed and Improper Fractions Math 6 th Grade Finley.
Master Math ™ Problems Subtracting Mixed Fractions.
Fractions Continued.
Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 5.3 The Rational Numbers.
Math Converting Mixed Numbers to Improper Fractions Multiplying Fractions & Mixed Numbers.
Mixed Numbers and Improper Fractions.
1 STANDARD 1.2 MULTIPLYING FRACTIONS PROBLEM 1 PROBLEM 4PROBLEM 3 PROBLEM 2 PROBLEM 5 PROBLEM 8PROBLEM 7 PROBLEM 6 PROBLEM 9 AREA OF A RECTANGLE EQUIVALENT.
Multiplying Fractions and Mixed Numbers 3 X 1. Step 1: Convert the mixed numbers to improper fractions. 3 = 7 X 3 = = 25 1 = 5 X 1 = = 8.
Warm up # (-24) =4.) 2.5(-26) = 2-7(-8)(-3) = 5.) -5(9)(-2) = 3.
Divide Mixed Numbers by Fractions
Mixed Numbers & Improper Fractions
Chapter 4 Notes 7 th Grade Math Adding and Subtracting Fractions10/30 2. Find a common denominator 3. Add or subtract the numerators Steps 4. Keep the.
Liberal Arts Math. Objectives  By the end of this lesson, you  Understand the meaning of the term improper fraction.  Understand the meaning of the.
Mixed Numbers to Improper Fractions. Lets say you have a mixed number of 1 and 5/8 You can change this into the number 13/8. For converting mixed numbers.
Mixed Numbers & Improper Fractions
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Chapter 2 Fractions.
STANDARD 1.2 PROBLEM 1 PROBLEM 3 PROBLEM 2 PROBLEM 4 The Value of Money How Many Hundredths or Tenths In a Unit? Using a Place Value Mat PROBLEM 5 END.
If the numerator of a fraction is less than the denominator, the fraction represents a number less than 1 and is called a proper fraction. Improper Fractions,
Fractions Review. Fractions A number in the form Numerator Denominator Or N D.
FRACTIONS LESSON 4. TERMIOLOGY ► NUMERATOR – Top digit of a fraction ► DENOMINATOR – Bottom digit of a fraction ► EQUIVALENT FRACTIONS - are fractions.
Signed Rationals. What are signed rationals? Signed rationals are rational numbers with negative and positive signs. To solve signed rational problems:
Math – Fractions, Mixed Numbers, and Rational Expressions 1.
STANDARD 1.2 Subtraction: Problem 1 Subtraction: Problem 2 Subtracting with carry-ons: Problem 4 SUBTRACTING DECIMALS Subtracting with carry-ons: Problem.
PROBLEM 1 PROBLEM 2 PROBLEM 3 PROBLEM 4 EQUIVALENT FRACTIONS PROBLEM 5
© 2010 Pearson Prentice Hall. All rights reserved The Rational Numbers.
Bellwork Write each rational number as a fraction in simplest form.
Goal: use division to generate mixed numbers and improper fractions.
Improper Fractions and Mixed Number.  An improper fraction is a fraction in which the numerator is larger than the denominator. Example: 7/3 The numerator.
Lesson 5.3 The rational numbers. Rational numbers – set of all numbers which can be expressed in the form a/b, where a and b are integers and b is not.
OBJECTIVES 1. DEFINE and GIVE EXAMPLES of: proper fractions
2. Estimating Fractions and Mixed Numbers
Adding, Subtracting, Multiplying and Dividing Fractions
Fractions A number in the form Numerator Denominator Or N D.
Multiplying and Dividing Fractions
Mixed Numbers & Improper Fractions
The Rational Numbers Notes and Examples for 8/15/16
Rational Numbers & Equations
Fractions Review.
Fractions Review.
Fractions Review.
Fractions Review.
Mixed Numbers and Improper Fractions
Section 5.3 The Rational Numbers
2 8 Types of Fractions There are 3 types of fractions:
Adding and Subtracting Rational Numbers
Fractions Review.
Fractions Mixed Numbers
Fractions Review.
Converting Mixed and Improper Fractions
Fractions Review.
Fractions Review.
2. Estimating Fractions and Mixed Numbers
Fractions Review.
Fractions V Mixed Numbers
Fractions V Mixed Numbers
Adding & Subtracting Fractions
Rational numbers Mixed
Mixed Numbers and Improper Fractions
Presentation transcript:

MULTIPLYING FRACTIONS STANDARD 1.2 MULTIPLYING FRACTIONS Fractional part of a number: half a dozen Fractional part of a number: A fourth a dozen Fractional part of a number: Other parts of a dozen MIXED NUMBERS Butter Carton Problem: What is a Mixed Number? Going from Mixed Number to Improper Fraction: PROBLEMS END SHOW PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

GRADE 7: Number Sense 1.2 Add, subtract, multiply and divide rational numbers and take positive rational numbers to whole-number powers 1.2 Sumar, restar, multiplicar y dividir números racionales y elevar números positivos racionales a potencias de enteros. PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

How is this process called? Division 1 2 STANDARD 1.2 A customer wants of a dozen eggs. How can I know how many should I give him? How is this process called? Division How can we represent this process with math symbols? 6 a) 12 2 I need to form two groups from the dozen and give one to the customer: 12 1 2 12 = 1X12 2X1 12 2 = 1 2 3 4 5 6 b) = 6 1 1 2 12 1 2 3 4 5 6 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 2 STANDARD 1.2 A customer wants of a dozen eggs. How can I know how many should I give him? How is this process called? Division How can we represent this process with math symbols? 6 a) 12 2 I need to form two groups from the dozen and give one to the customer: 12 1 2 12 = 1X12 2X1 12 2 = 1 2 3 4 5 6 b) = 6 1 1 2 12 1 2 3 4 5 6 =6 1 2 2 4 = 3 6 = 5 10 = c) 4 8 = 6 12 = PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

How is this process called? Division 1 3 STANDARD 1.2 A customer wants of a dozen eggs. How can I know how many should I give him? How is this process called? Division How can we represent this process with math symbols? I need to form three groups from the dozen and give one to the customer: 4 a) 12 3 12 1 2 3 4 1 3 12 = 1X12 3X1 12 3 = b) = 4 1 2 4 1 3 1 3 12 1 2 3 4 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

How is this process called? Division 1 3 STANDARD 1.2 A customer wants of a dozen eggs. How can I know how many should I give him? How is this process called? Division How can we represent this process with math symbols? 4 I need to form three groups from the dozen and give one to the customer: a) 12 3 12 1 2 3 4 1 3 12 = 1X12 3X1 12 3 = b) = 4 1 2 4 1 3 1 3 12 1 2 3 4 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

How is this process called? Division 1 3 STANDARD 1.2 A customer wants of a dozen eggs. How can I know how many should I give him? How is this process called? Division How can we represent this process with math symbols? 4 I need to form three groups from the dozen and give one to the customer: a) 12 3 12 1 2 3 4 1 3 12 = 1X12 3X1 12 3 = b) = 4 1 2 4 1 3 1 3 12 =4 1 2 3 4 1 3 2 6 = 3 9 = c) 4 12 = PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

How is this process called? Division 1 3 STANDARD 1.2 A customer wants of a dozen eggs. How can I know how many should I give him? How is this process called? Division How can we represent this process with math symbols? 4 I need to form three groups from the dozen and give one to the customer: a) 12 3 12 1 2 3 4 1 3 12 = 1X12 3X1 12 3 = b) = 4 1 2 4 1 3 1 3 12 =4 1 2 3 4 1 3 2 6 = 3 9 = c) 4 12 = PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Let’s concentrate in this method: 1 3 STANDARD 1.2 A customer wants of a dozen eggs. How can I know how many should I give him? I need to form three groups from the dozen and give one to the customer: Let’s concentrate in this method: 1 2 3 4 1 3 12 = 1X12 3X1 12 3 = b) = 4 1 2 4 1 3 We can see that multiplying an integer, this time 12, by a fraction we are in reality dividing the number into 3! 1 3 1 2 3 4 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 4 STANDARD 1.2 A customer wants of a dozen eggs. How can I know how many should I give him? 1 4 12 = 1X12 4X1 12 4 = = 3 1 1 6 A customer wants of a dozen eggs. How can I know how many should I give him? 1 6 12 = 1X12 6X1 12 6 = = 2 1 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 What is the value of 1 full carton and 1 stick of butter? STANDARD 1.2 BUTTER 1 pound lb BUTTER 1 4 BUTTER 1 pound lb BUTTER 1 4 lb BUTTER 1 4 lb BUTTER 1 4 lb BUTTER 1 4 What is the value of 1 full carton and 1 stick of butter? 5 4 1 4 OR 1 5 4 = 1 4 4 1 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 1 What is the value of 1 full carton and 2 stick of butter? STANDARD 1.2 lb BUTTER 1 4 BUTTER 1 pound lb BUTTER 1 4 BUTTER 1 pound What is the value of 1 full carton and 2 stick of butter? 6 4 1 2 4 1 2 OR OR 1 . 2 6 4 = 1 2 4 = 1 2 4 2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 What is the value of 1 full carton and 3 stick of butter? STANDARD 1.2 lb BUTTER 1 4 BUTTER 1 pound lb BUTTER 1 4 BUTTER 1 pound What is the value of 1 full carton and 3 stick of butter? 7 4 1 3 4 OR 1 7 4 = 1 3 4 4 3 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

2 What is the value of 1 full carton and 4 stick of butter? STANDARD 1.2 lb BUTTER 1 4 BUTTER 1 pound lb BUTTER 1 4 BUTTER 1 pound What is the value of 1 full carton and 4 stick of butter? 8 4 2 2 OR 8 4 8 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 So, we go from an IMPROPER FRACTION to a MIXED NUMBER: STANDARD 1.2 So, we go from an IMPROPER FRACTION to a MIXED NUMBER: 1 7 4 1 3 4 7 4 = 1 3 4 4 3 How can we go from MIXED NUMBER to IMPROPER FRACTION then? (4x1) + 3 = 4 + 3 4 7 4 = 4 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 Convert to MIXED NUMBER the following IMPROPER FRACTION: STANDARD 1.2 Convert to MIXED NUMBER the following IMPROPER FRACTION: 1 9 5 1 4 5 9 5 = 1 4 5 5 4 Now convert it to IMPROPER FRACTION AGAIN: (5x1) + 4 = 5 + 4 5 9 5 = 5 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 Convert to MIXED NUMBER the following IMPROPER FRACTION: STANDARD 1.2 Convert to MIXED NUMBER the following IMPROPER FRACTION: 1 8 7 1 7 8 7 = 1 7 7 1 Now convert it to IMPROPER FRACTION AGAIN: (7x1) + 1 = 7 + 1 7 8 7 = 7 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 Convert to MIXED NUMBER the following IMPROPER FRACTION: STANDARD 1.2 Convert to MIXED NUMBER the following IMPROPER FRACTION: 1 11 8 1 3 8 11 8 = 1 3 8 8 3 Now convert it to IMPROPER FRACTION AGAIN: (8x1) + 3 = 8 + 3 8 = 11 8 8 So, what is an improper fraction? It is a fraction whose numeratior is equal or greater than the denominator. 7 5 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved