Session 1
Unit 2 Module 4
NAME
| DATE
Find the Greater Fraction page 1 of 2
1
Find the least common multiple for each pair of numbers. Show all your work.
ex 3 and 5
3: 3, 6, 9, 12, 15, 18
5: 5, 10, 15, 20
The LCM is 15.
2
a
4 and 6
b
3 and 7
c
5 and 8
d
6 and 9
Use the least common multiple to find equivalent fractions for each fraction pair.
Then, use the symbol < or > to show the bigger fraction.
ex
3
4
4
6
and
a
5
8
and
2
3
c
7
12
and
5
8
4 4, 8, 12, 16
6 6, 12, 18, 24
3
4
=
3×3
4×3
9
12
>
8
12
b
1
6
9
12
=
3
4
so
and
4
6
>
=
4×2
6×2
=
8
12
4
6
2
9
(continued on next page)
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Unit 2 Module 4
Session 1
NAME
| DATE
Find the Greater Fraction page 2 of 2
Solve the story problems below. Show your work using numbers, sketches, or words.
3
Matthew read 23 of a book. Craig read 45 of the same book. Who read more? How
much more?
4
Carlos had two extra sandwiches. They were exactly the same size. He gave 79 of the
first sandwich to his friend Ben and 46 of the second sandwich to his friend Corey.
a
Whose piece is bigger, Corey’s or Ben’s?
b
If Carlos ate the remaining pieces of the two sandwiches, did he get
more or less than Corey? Did he get more or less than Ben?
CHALLENGE
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Session 3
Unit 2 Module 4
NAME
| DATE
Working with Fractions page 1 of 2
Which is greater, 23 or 45 ? Exactly how much difference is there between these two
fractions? If you want to compare, add, or subtract two fractions, rewrite them so they
both have the same denominator. To do this:
•
Find the least common multiple of the denominators of the fractions.
multiples of 3 3, 6, 9, 12, 15
multiples of 5 5, 10, 15
The least common multiple of 3 and 5 is 15.
•
Multiply the numerator and denominator of each fraction by the same number
so the denominators are equal.
2×5
3×5
1
2
10
15
4×3
5×3
=
12
15
4 is greater than 2 by exactly 2
5
3
15 .
Find the least common multiple (LCM) of each pair of numbers.
ex
4 and 10
4, 8, 12, 16, 20
10, 20
20 is the LCM of 4 and 10
a
5 and 6
b
2 and 7
Add or subtract the fractions by rewriting them so they have common
denominators. Hint: Use the information from problem 1 to help.
ex
3
=
3
4
–
7
10
=
3×5
4×5
=
15
20
15
20
14
20
=
–
a
7×2
10 × 2
=
4
5
+
5
6
=
b
4
7
–
1
2
=
14
20
1
20
Find the greatest common factor for each pair of numbers below. Use extra paper if
you need more space.
16
15
28
36
GCF
GCF
(continued on next page)
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Session 3
Unit 2 Module 4
NAME
| DATE
Working with Fractions page 2 of 2
4
5
Find the simplest form of each fraction below.
a
16
28
b
4
48
c
2
14
d
28
16
e
15
36
f
56
42
Add or subtract. Show your work. Hint: Use the information in problem 4 above to help.
a
16
28
+ 14 =
2
b
15
36
+ 48 =
c
28
16
+ 100 =
4
25
6
Alicia says that the greatest common factor of 8 and 12 is 24. Do you agree or
disagree? Explain.
7
Felix says that
8
CHALLENGE
11
33
is in simplest form. Do you agree or disagree? Explain.
List three examples of times when people need to add or subtract
fractions in their daily lives.
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