Transcript Fraction_Concepts

FRACTION
CONCEPTS
Thursday 11/1
• Before the bell rings...
• Have your pencil sharpened.
• Have your notebook out and be
ready to take notes.
• Have your assignment out and be
ready to hand in.
• United Streaming Video
Equivalent Fractions
• Investigation-P. 175
• Fold paper into 3 parts lengthwise
• Shade 2 parts
• Fold other paper into 3 parts lengthwise,
then four parts the other way.
• Shade an amount equal to your first
paper.
• How do you write the amounts shaded
for each page as a fraction?
Folding Papers
• How do you know if they are the
same?
• What relationship do you see
between the two fractions?
• How can you find equivalent
fractions without folding paper each
time?
Fraction Review
• A FRACTION IS USED TO DESCRIBE EQUAL
PARTS OF A WHOLE
• Fraction: a where a and b are whole
b
numbers and b
• a
b
means a
 to zero.
 b.
1
1 4 =
4
• Numerator: the top number in a fraction.
• Also tells how many shares (or parts)
• Denominator: the bottom number in a fraction.
• Tells what is being counted
Equivalent Fractions
• Equivalent Fractions: two fractions that
represent the same quantity.
• The Fundamental Property of Fractions:
Allows you to multiply the numerator and
denominator by the same non-zero number –
the result is an equivalent fraction
3
Example:
6
Examples
• Find a fraction with a LARGER
denominator that is equivalent to
6
10
• Find a fraction with a SMALLER
denominator that is equivalent to
6
10
Lowest Terms
• Lowest Terms: A fraction is in lowest terms
when 1 is the only common factor of the
numerator and denominator.
What is this called??? (relatively prime)
• To find the lowest term: Divide both the
numerator and denominator by the same
number until the only common factor
between the numerator and denominator is
one.
• WHAT IS THE BEST NUMBER YOU CAN /
BY??
• BE FAIR! Always perform the same
operation to the numerator as the
Lowest Terms
• WHAT IS THE BEST NUMBER YOU CAN
DIVIDE BY??
• Dividing by the GCF will simplify your fraction to
lowest terms in one step!
• BE FAIR! Always perform the same
operation to the numerator as the
denominator!
EXAMPLE
3
Simplifying Fractions
GUIDED PRACTICE
Write the fraction in simplest form.
4
b. 8
15
=

8
a.
28 4
2
7
Divide out GCF
of 8 and 28.
The GCF is 1.
The fraction is in simplest form.
EXAMPLE
4
Using Fractions in Simplest Form
GUIDED PRACTICE
Basketball
At a basketball game, the home team made 14 out of
22 free throw attempts. The visiting team made 10 out
of 25 free throw attempts. Write fractions for the
number of free throws made by each team. Are the
fractions equivalent?
14
Free throws made
7
2
Home Team
11
22
Free throws attempted
2
=
10
25
5
5
=
Answer No, 7 and 2 are not equivalent fractions.
11
5
=
Free throws made
Free throws attempted
=
Visiting Team
2
5