Transcript Pre-Algebra Intro to Fractions!

MATH 6 Intro to Fractions!
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Anatomy of the fraction...
– Numerator
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The term above the line in a
fraction. The numerator tells
how many parts are being
talked about or considered.
– Denominator
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The number below the line in a
fraction. The denominator
indicates what kind or size of
parts the numerator counts.
Name the different types of
fractions
– Improper
– Proper
• Mixed Numbers
What are Fractions?
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Name the operation happening between the
numerator and the denominator in a
fraction.
Division!
Therefore… when we name a fraction like
3/4, we would say:
“three fourths”
“three out of 4”
“three divided by four”
3:4
– “Three to Four”
Proper Fractions
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Proper Fractions
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Simplifying Proper
Fractions
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Fractions where the numerator is
less than the denominator
The value is less than one.
Find the largest number you can
divide into BOTH numerator and
denominator (also known as the
GCF).
Examples of Simplifying
Proper Fraction
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Example #1
– Simplify 6/8.
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What is the GCF?
Divide both
numerator and
denominator by the
GCF.
Answer… 3/4
Simplifying Proper Fractions
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Examples #2 and 3
– Simplify 9/15
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– Simplify 6/20
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What is your GCF?
Divide numerator
and denominator by
the GCF.
Solutions:
– 9/15 = 3/5
– 6/20 = 3/10
Examples of Simplifying
Proper Fraction
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Example #2
– Simplify 12/36
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What is the GCF?
Divide both
numerator and
denominator by the
GCF.
Answer… 1/3
Improper Fractions
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Improper Fractions
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Converting Improper
Fractions into Mixed
Numbers
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Fractions where the
numerator is LARGER THAN
the denominator.
The value is greater than
or equal to 1.
Divide the numerator by the
denominator.
The remainder (if there is
one) becomes the numerator
of the mixed number.
Converting Improper Fractions into Mixed
Numbers
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Improper Fractions to
Mixed Numbers
Example #1
– What kind of fraction is
26/5?
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Improper fractions in
simplest form do NOT have a
GCF and we can turn them
into mixed numbers
Divide numerator 26 by
denominator 5
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26  5 = 5
Remainder is 1
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Answer =
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5 1/5
Converting Mixed Numbers to Improper
Fractions
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Mixed Number
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Changing a mixed
number into an
improper fraction
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The sum of WHOLE NUMBER
and a PROPER FRACTION.
2 + 3/4 = 2 3/4
3 + 1/4 = 3 1/4
Multiply the whole number
by the denominator.
Add the numerator to this
product.
Denominator stays the same
Converting Mixed Numbers to Improper
Fractions
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Example #1
– 4 3/4
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Multiply the whole number
by the denominator
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4 x 4 = 16
Now, add the numerator to
this product and the
denominator stays the
same…
16 + 3 = 19
Answer: 19/4
Converting Mixed Numbers to Improper
Fractions… Examples
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Example #2
– 2 4/5
Example #3
– 5 2/7
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Answer to #2
– 2 x 5 = 10
– 10 + 4 = 14
– 14/5
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Answer to #3
– 5 x 7 = 35
– 35 + 2 = 37
– 37/7