LESSON Applying GCF and LCM to Fraction Operations 4-1 Practice and ...
Name ________________________________________ Date __________________ Class __________________
LESSON
4-1
Applying GCF and LCM to Fraction Operations
Practice and Problem Solving: A/B
Multiply. Use the greatest common factor to write each answer in
simplest form.
1.
2 6
i
3 7
2.
________________________
4. 24 i
5
6
3 2
i
4 3
3.
_______________________
5. 32 i
________________________
3
8
8
7
i
21 10
________________________
6. 21 i
_______________________
3
7
________________________
Add or subtract. Use the least common multiple as the denominator.
7.
4
5
+
15
6
________________________
10.
5
5
?
8
24
________________________
8.
5
3
?
12
20
9.
_______________________
11. 3
5
3
+1
12
8
3
3
+
5
20
________________________
12. 2
_______________________
9
7
?1
10
18
________________________
Solve.
1
of the time
4
was spent practicing chords, how much time did Louis spend
practicing chords?
13. Louis spent 12 hours last week practicing guitar. If
___________________________
2
3
of what
of a pizza. Her brother Joe ate
4
3
was left. How much of the original pizza did Joe eat?
14. Angie and her friends ate
___________________________
Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
52
Name ________________________________________ Date __________________ Class __________________
LESSON
4-1
Applying GCF and LCM to Fraction Operations
Practice and Problem Solving: C
Multiply. Use the greatest common factor to write each answer in
simplest form.
1.
4 3
i
9 8
2.
________________________
7
3
i
9 14
3. 18 i
_______________________
7
9
________________________
Add or subtract. Use the least common multiple as the denominator.
4.
7
5
+
15
6
5. 1
________________________
7
3
?
12
20
2
7
+
5
20
6.
_______________________
________________________
Solve.
7. A recipe calls for the following ingredients.
3 c flour ______
1
t salt ______
2
3
c sugar ______
4
4 c fruit ______
2 T butter ______
2
of the recipe, how much of each ingredient should you
3
use? Write the revised amount on the line next to each ingredient.
To make
8. Half of a pizza was broccoli and half was mushroom. George ate
of the broccoli part and
2
3
1
of the mushroom part. How much of the
4
pizza did he eat?
___________________________
9. What else could you call the least common multiple in an addition or
subtraction problem involving fractions?
_________________________________________________________________
Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
53
Name ________________________________________ Date __________________ Class __________________
LESSON
4-1
Applying GCF and LCM to Fraction Operations
Practice and Problem Solving: D
Multiply. Use the greatest common factor to write each answer in
simplest form. The first one is done for you.
1.
2 3
i
3 4
2.
12 3
i
15 4
2 3
6
1
i
=
=
3 4
12
2
________________________
3. 24 i
_______________________
5
8
________________________
Add or subtract. Use the least common multiple as the denominator.
The first one is done for you.
4.
11
3
?
12
20
5.
3
9
+
5
20
________________________
6.
_______________________
11
2
+
15
3
________________________
Solve. The first one is done for you.
7. Lyza used 24 ounces of spaghetti to make a recipe. If she wanted
1
to make
as much, how much spaghetti should she use?
4
1
i 24 = 6; 6 ounces
4
___________________________
4
of his
5
time working on the transmission. How much time did Noah spend
working on the transmission?
8. Noah spent 25 hours working on his car. He spent
___________________________
9. Miguel made lemonade. He mixed
1
cup of lemon juice with
3
4
cup of water. How much more water than lemon juice did Miguel
9
use?
______________________________________________________________ ___________________________
Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
54
Name ________________________________________ Date __________________ Class __________________
LESSON
4-1
Applying GCF and LCM to Fraction Operations
Reteach
How to Multiply a Fraction by a Fraction
2 3
i
3 8
2 3
6
i
=
3 8
2 3
6
i
=
3 8
24
6¡Â6
1
=
24 ¡Â 6
4
Multiply numerators.
Multiply denominators.
Divide by the greatest common factor (GCF).
The GCF of 6 and 24 is 6.
How to Add or Subtract Fractions
5
11
+
6
15
25
22
+
30
30
Rewrite over the least common multiple (LCM).
The least common multiple of 6 and 15 is 30.
25
22
47
+
=
30
30
30
=1
Add the numerators.
17
30
If the sum is an improper fraction, rewrite
it as a mixed number.
Multiply. Use the greatest common factor.
1.
3 7
i
4 9
2.
________________________
4. 8 i
3
10
2 7
i
7 9
3.
_______________________
5.
________________________
4 3
i
9 4
7
22
i
11 28
________________________
6.
_______________________
3 2
i
7 3
________________________
Add or subtract. Use the least common multiple.
7.
7
5
+
9
12
________________________
8.
21
3
?
24
8
9.
_______________________
11
7
+
15
12
________________________
Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
55
Name ________________________________________ Date __________________ Class __________________
Applying GCF and LCM to Fraction Operations
LESSON
4-1
Reading Strategies: Use Graphic Aids
You can find the answer to 6 i
6i
2
using fraction strips and multiplication.
3
2
12
=
3
3
1. What fractional part of each fraction strip is shaded?
_______________
2. How many of these fraction strips are there?
_______________
3. Write a multiplication equation for this picture.
_______________
You can use fraction strips to find the least common multiple.
3
1
+
4
3
3
1
9
4
+
=
+
4
3
12
12
So,
3
1
13
1
+
=
=1 .
12
4
3
12
Find the products. Use the greatest common factor. Write each
answer in simplest form.
4. 6 i
1
9
5. 3 i
________________________
5
9
6. 2 i
_______________________
11
14
________________________
Find the sums. Use the least common multiple. Write each answer in
simplest form.
7.
1
5
+
4
12
________________________
8.
2
7
+
9
12
9.
_______________________
9
1
+
10
4
________________________
Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
56
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