Transcript Simplifying Fractions

COURSE 2 LESSON 3-5
Simplifying Fractions
Write 18 in simplest form.
30
18 ÷ 3
6
=
30 ÷ 3
10
Divide the numerator and denominator
by a common factor.
6÷2
3
=
10 ÷ 2
5
If necessary, divide again by another
common factor.
In simplest form, 18 is 3 .
30
5
3-5
COURSE 3 LESSON 4-2
Equivalent Forms of Rational Numbers
Write 138 in simplest form using the GCF.
150
The GCF of 138 and 150 is 6.
138
138 ÷ 6
=
150
150 ÷ 6
23
= 25
Divide the numerator and the
denominator by the GCF.
Simplify. The numbers 23
and 25 are relatively prime.
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COURSE 3 LESSON 4-2
Equivalent Forms of Rational Numbers
Write 60 in simplest form using prime factorization.
126
60
2•2•3•5
=
126
2•3•3•7
1
1
2•2•3•5
= 2•3•3•7
1
10
= 21
Write the prime factorizations of
the numerator and denominator.
Divide the common factors.
1
Simplify.
4-2
COURSE 2 LESSON 3-5
Simplifying Fractions
There are 28 students in Mai’s homeroom. Of these, 20
students have a pet. What fraction of the students have a pet? Write
your answer in simplest form.
20
20 ÷ 4
5
=
=
28
28 ÷ 4
7
Divide both numerator and
denominator by the GCF, 4.
The fraction of students that have a pet is 5 .
7
3-5
COURSE 2 LESSON 3-5
Simplifying Fractions
Simplify.
1. 20
2. 18
3. 20
4. 30
35
4
7
75
4
15
42
3
7
48
5
8
3-5