Transcript Simplifying Fractions

Simplifying Fractions
October 1, 2012
Standard: 6.NS.1. Interpret & compute quotients of
fractions, & solve word problems involving division of
fractions by fractions
Learning Target:
I can simplify fractions by dividing numbers into
the numerator and denominator that follow the
divisibility rules.
Essential Question:
How to simplify fractions by finding the GCF and using
divisibility rules?
Definitions:
1. Numerator: The number that is in the top
of the fraction
2. Denominator: the number that is in the
bottom of the fraction
3. Equivalent fractions: Fractions that
represent the same value
4. Simplest form: when the numerator and
the denominator have no common factors
other than 1.
Simplifying Fractions
• When you are simplifying fractions, you
are writing fractions in their simplest terms.
When the numerator and the denominator
share no common factors, then a fraction
is in its simplest terms.
• If the numerator is a “1”, the fraction is in
its simplest terms.
• 1
1
1
1
2
3
21
12
• Other fractions may be in their simplest
terms, even if their numerator is NOT a 1.
•
3
5
9
4
5
9 14 11
If a fraction is not in its simplest terms, it
is easy to fix! Just divide the numerator
AND the denominator by the common
factors (or by the greatest common factor)
until they have no more common factors.
1. 4/12 = 1/3 This equation was divided by
four .
Steps for Reducing Fractions:
1. See if there is a common factor for both the numerator and
denominator
2. If a common factor is found then divide it in the numerator and the
denominator to get the reduce fraction
Fraction
Form
GCF
________
__________
Reduce