Introduction to Signed Fractions

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Section 4.1 Introduction to Signed
Fractions Fraction Any number that can be
written in the form where a b are integers a
b ? 0.
TOP
Numerator - ___________ number of a fraction
Denominator - _________number of a fraction
Bottom
2
For the fraction ______ is the numerator and
______ is the denominator.
x
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Proper Fraction Numerator is less than the
denominator. Improper Fraction Numerator is
greater than or equal to denominator.
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1. Circle the proper fractions
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2. Circle the improper fractions
5
Write a fraction based on the information given.
3. If 3 out of every 7 people who apply to
medical school actually get accepted, what
fraction of the people who apply get accepted?
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4. If 3 out of every 7 people who apply to
medical school actually get accepted, what
fraction of the people who apply do not get
accepted?
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5. In a recent 10- kilometer race,
757 runners started the race and 599 finished
it. What fraction of the runners finished the
race?
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Equivalent Fractions Fractions that represent
the same number. They have the same value even
though they might look different. If a, b, and c
are numbers (b ? 0 and c ? 0), then
or
ex.
or
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Divide the numerator and denominator by 2.
6.
7.
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Write the fractions with denominator 6.
8.
9.
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Write the fractions with denominator 36.
10.
11.
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The number 1 and fractions a (for any
number a) All integers can be written as
fractions. Write 8 as a fraction_________
(for any non zero number a)
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Simplify the following.
13.
12.
14.
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Simplify the following.
15.
16.
17.
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Homework
Pg. 205 1 49 eoo, 16, 24, 38, 42, 48, 63
79 eoo
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Section 4.2 Writing Fractions in Lowest Terms
Prime Number a number that is only
divisible by 1 and itself and is greater
than 1. 2, 3, 5, 7, 11, 13, 17, 19, 23, ...
Composite Number a number that has a divisor
other than 1 and itself and is not a prime
number. All composite numbers can be written as
prime numbers.
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Section 4.2 Writing Fractions in Lowest Terms
Steps for using Repeated Division Divide by prime
numbers. Stop when you reach 1.
Steps for Tree method Break numbers into
products of primes. Stop when you cant break
into any more prime numbers.
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Write the following as products of prime numbers.
Repeated Division Tree Method 12 12
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Repeated Division Tree Method 72 72
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Repeated Division Tree Method 108 108
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• Circle the numbers that are prime
• 34, 39, 41, 53, 57, 65, 99,
• 2. Circle the numbers that are composite
• 27, 38, 43, 61, 63, 77, 95, 121

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• Write the prime factorization of each number
• 40 5. 48

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Reducing Fractions Method 1 Write as a
product of primes and cancel prime numbers
Method 2 Divide by common factors
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Use either method to reduce the fractions to
lowest terms
6.
7.
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8.
9.
26
10.
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Pg. 219 1, 2, 3 15 odd, 10, 16, 19 35 odd,
34, 41, 44, 45 49 71 odd, 56, 66, 70