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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 of = 3 4 X But, of is the same as 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 X
Then, we shade of. We can see that it is the same as of = 3 5 X 1 2 So,
In this example, of has been shaded of What is the answer to ? 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 This area is X
We can find another name for that area by seeing what part of the square is shaded This area is X It is also 6 12
We have two names for the same area. They must be equal This area is X It is also X = 6
Length X Length = Area This area is X It is also X = 3 8
What is the answer to X ?
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
How To Multiply Fractions Introducing: factor product reciprocal inverse identity inverse.
HOW TO MULTIPLY FRACTIONS Introducing: factor product reciprocal multiplicative inverse identity invert.
Multiplying and Dividing Rational Numbers. Rational Numbers The term Rational Numbers refers to any number that can be written as a fraction. This includes.
Multiplying and Dividing Rational Numbers. The term Rational Numbers refers to any number that can be written as a fraction. This includes fractions that.
Dividing of Fractions by Carol Edelstein When would you divide fractions? One example is when you are trying to figure out how many episodes of your.
Of. and a to the in is you that it at be.
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Copyright©amberpasillas2010. Parts of a Fraction 3 4 = the number of parts = the total number of parts that equal a whole copyright©amberpasillas2010.
The. of and a to in is you that it he was.
Equivalent Fractions or “Half of one, Six twelfths of the other”
High Frequency Words List A Group 1. the of and.
The. of and a to in is you that it he for.
1 MA 1128: Lecture 15 – 6/17/13 Adding and Subtracting Rational Expressions (cont.)
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+ Lesson 6-8: Cross Multiplication Objective: We will learn to use cross multiplication to solve a proportion. We will use cross multiplication to check.
Natasha Duffy Cockenzie Primary School. FRACTIONS Learning Outcome I can… * explain what a fraction is. * explain what the denominator of a fraction is.
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Adding and Subtracting Fractions with like Denominators You know that the bottom number of a fraction tells how may parts each whole is divided into. In.
Can you see?. I like him. When will we go? All or some.
High-Frequency Phrases First 100 Words. The people.
ADDING FRACTIONS You will need some paper! Fractions The top number is the numerator The bottom number is the denominator Example:2 numerator 5 denominator.
Fractions, Decimals, and Percents Parts of the whole.
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Objective SWBAT simplify rational expressions, add, subtract, multiply, and divide rational expressions and solve rational equations SWBAT simplify rational.
There is an agreement in mathematics that we dont leave a radical in the denominator of a fraction.
Surds Surds are a special type of number that you need to understand and do calculations with. The are examples of exact values and are often appear in.
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