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Multiplication Model A Fraction of a Fraction Length X Length = Area
We will think of multiplying fractions as finding a fraction of another fraction. 3 4 We use a fraction square to represent the fraction. 3 4
Then, we shade of. We can see that it is the same as. 3 4 3 4 2 3 of 2 3 6 12 = 3 4 X 2 3 6 But, of is the same as. 3 4 2 3 3 4 X 2 3 So,
To find the answer to, we will use the model to find of. 3 5 We use a fraction square to represent the fraction. 3 5 1 2 3 5 1 2 3 5 X
Then, we shade of. We can see that it is the same as. 3 5 3 5 1 2 of 1 2 3 10 3 = 3 5 X 1 2 So,
In this example, of has been shaded 3 4 1 2 of 1212 3434 What is the answer to ? 1212 3434 X
In the second method, we will think of multiplying fractions as multiplying a length times a length to get an area. 3 4 This length is
In the second method, we will think of multiplying fractions as multiplying a length times a length to get an area. 2 3 This length is 3 4
We think of the rectangle having those sides. Its area is the product of those sides. 2 3 3 4 This area is X 3 4 2 3
We can find another name for that area by seeing what part of the square is shaded. 2 3 3 4 This area is X 3 4 2 3 It is also 6 12
We have two names for the same area. They must be equal. 2 3 3 4 This area is X 3 4 2 3 It is also 6 12 3 4 2 3 X = 6
Length X Length = Area This area is X 3 4 1 2 3 4 1 2 It is also 3 8 3 4 1 2 X = 3 8
What is the answer to X ? 4 5 1 4 1414 4545
Fraction Multiplication And Cancelation
Fraction Multiplication Here are some fraction multiplication problems Can you tell how to multiply fraction from these examples?
Multiplication Multiply numerator by numerator And denominator by denominator
Try some. Multiply the following:
Answers Multiply the following:
Mixed Numbers Because of the order of operations, Mixed numbers cannot be multiplied as is GET MAD!!!!! Change mixed numbers to improper fractions, then multiply.
Try some Change any whole or mixed numbers to improper. Multiply straight across. Simplify answers
Answers Change any whole or mixed numbers to improper. Multiply straight across. Simplify answers
Cancelling Reduce before you multiply
Canceling Reducing before mutiplying is called canceling. ICK! Instead think the following in your head.
Canceling on paper Rules: One factor from any numerator cancels with like factor from the denominator.
Try one Say “--- goes into ____ this many times.” As you cross each number out and write what is left after canceling above the number.
Answer Say “--- goes into ____ this many times.” As you cross each number out and write what is left after canceling above the number.
Try one more Make whole and mixed numbers improper Cancel if you can Multiply Numerators and denominators straight across. Simplify
Answer Make whole and mixed numbers improper Cancel if you can Multiply Numerators and denominators straight across. Simplify
Fraction Multiplication And Cancelation. Fraction Multiplication Here are some fraction multiplication problems Can you tell how to multiply fraction.
Fractions V Mixed Numbers. Mixed Number Amixed number has a part that is a whole number and a part that is a fraction. =
Multiplying Fractions Actually, this is the easiest operation to perform on fractions. Numerator times numerator, denominator times denominator. If you.
Multiplying Fractions & Mixed Numbers RULES: 1. Change all mixed and whole numbers to improper. 2. Cross cancel (short cut). 3. Multiply numerators and.
Multiplying Fractions. Fraction with a Fraction 1. Multiply numerators 2. multiply denominators 3. reduce.
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.
We will use a square area model to look at multiplying fractions. Example Let’s make the height of our unit square ½. 1 Let’s make the base ¼. Move the.
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© 2007 M. Tallman. 1 Whole Whole
Multiplication of Fractions by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis How to Find a Fraction of a Fraction Step 1 - When you see a fraction.
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By: Ruthie Covington. Directions First you find two fractions. If you have a mixed number, then you multiply the whole number by the denominator.
Multiplying Fractions. There are 5 types of problems… 1) Fraction x Fraction 2) Whole number x Fraction 3) Mixed number x Mixed number 4) Mixed number.
Measurement Modeling Multiplication of a Fraction by a Fraction.
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.
Natasha Duffy Cockenzie Primary School. FRACTIONS Learning Outcome I can… * explain what a fraction is. * explain what the denominator of a fraction is.
MULTIPLYING MIXED NUMBERS OBJECTIVE: I will multiply mixed numbers (using cross canceling to simplify) VOCABULARY: MIXED NUMBER – a number made up of a.
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Copyright©amberpasillas2010. The first thing to remember is “ of ” means multiply in mathematics. of = x.
Fraction Multiplication. There are 3 approaches for modeling fraction multiplication u A Fraction of a Fraction Length X Width = Area u Cross Shading.
Fractions XIII Multiplication of Whole Numbers. How to Find the Fraction of a Whole Number The first thing to remember is “of” means multiply in mathematics.
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Fractions. Fractions- equal parts of a whole Numerator Denominator Parts/pieces you are looking for Total number of pieces/parts = 3 4 Ex) w.
1 FRACTIONS. 2 VOCABULARY Fraction- a number that describes part of a whole or part of a set. Numerator- top number of a fraction that tells how many.
Study Guide. a) Has a whole number part & a fraction part b) The answer to a division problem c) For example, 2 1/2 d) Both A and C.
Mixed Numbers & Improper Fractions. Objectives Objective: We will convert improper fractions to mixed numbers and mixed numbers to improper fractions.
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