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NAME _________________KEY_______________________ HOMEROOM ____COLLINS_____
DATE __________________________
PARENT SIGNATURE & DATE (BONUS PTS.) ________________________________________________________________
UNIT 5: NUMBER & OPERATIONS - FRACTIONS STUDY GUIDE
Directions: Fill in the blanks or bubble in the circle with the correct answer to each question. Feel free to use a scrap
sheet of paper to help you work out the problems. These problems are similar to what you will see on your
test.
1. Jonah made the figure below.
Which fraction is equivalent to the shaded part
of Jonah’s figure.
O
O
O
O
6 x 2 = 12
10 x 2
20
5/10
2/5
3/10
12/20
2. Natalie ate 3/8 of an apple. Later, she ate
another 3/8 of the apple. What fraction of the
apple did she eat in all?
O
O
O
O
3. Multiply.
O
O
O
O
3 + 3 = 6
8
8
8
2/8
6/8
6/16
8/8
4 x 3/5
7/5
7/9
12/20
12/5
4=4
1
4 x 3 = 12
1
5
5
4. Which symbol makes this sentence true?
7/12 O 3/4
O
O
O
O
>
<
=
+
7/12
3/4
8/100
2/10
8/10
2/100
O
O
O
O
0.44
0.30
0.44
0.30
0.34
0.44
0.30
0.34
0.30
0.34
0.34
0.44
comparing least to
greatest, then
compare the place
value numbers from
left to right.
7. Jamal did 2/8 of his chores before lunch. He
did another 3/8 of his chores after lunch.
What fraction of his chores did he finish?
O
O
O
O
4/8
5/8
4/12
5/16
2 + 3 = 5
8
8
8
8. Jasmine ordered 3/6 pounds of American
cheese and five-sixth pound of cheddar
cheese. How much more cheddar cheese
than American cheese did Jasmine order?
O
O
O
O
9. Multiply.
O
O
O
O
5 - 3 = 2
6 6
6
1/3 pound
½ pound
¾ pound
1 pound
5/8
3 1/5
1 3/5
1 1/5
Simplify
2 ÷ 2 = 1
6 ÷ 2
3
4 x 2/5
4=4
1
4 x 2 = 8
1
5
5
8 ÷ 5 = 1 3/5
10. Which sentence is true?
5. Rod’s puppy ate 0.8 of a can of dog food.
What fraction of the food did the puppy eat?
O
O
O
O
6. Which lists the decimals from least to
greatest?
Since you are
0.8
O
O
O
O
1/8 > 1/4 (1/8 is less than 1/4)
1/2 < 2/4 (1/2 equals 2/4)
3/8 > 1/2 (3/8 is less than 1/2)
5/8 < 3/4
5/8
3/4
ones tenths
11. Which decimal makes the sentence true?
0.28 <
O
O
O
O
0.03
0.27
0.28
0.30
12. Add.
O
O
O
O
3 2/5 + 3 2/5
O
O
O
O
+3 2
5
6 4
5
4 5/6
5 2/5
6 2/5
6 4/5
17/24
3
1/4
17/12
Simplify
4 3/4
3 3/4
3 1/2
1 1/2
O
O
O
O
1.42
10.24
1.24
12.04
One whole flat shaded in equals 1. All you then
need to do is count the number of little squares
that are shaded to get the decimal part of the
answer. There are 24 squares shaded in on the
second flat. (1 whole and 24 hundredths)
19. Which decimal represents the shaded part of
the grids?
10 - 7 = 3
12 12 12
3 ÷ 3 = 1
12 ÷ 3
4
14. What mixed number goes in the box to make
the sentence true?
2 5
8
- 1 1/8 = 2 5/8
O
O
O
O
2/8 (2/8 can be simplified to 1/4. Divide by 2.)
5/8
4/16 (4/16 can be simplified to 1/4. Divide by 4.)
3/12 (3/12 can be simplified to 1/4. Divide by 3.)
18. Which decimal represents the shaded part of
the grids?
3 2
5
13. Tim had 10/12 roll of green streamer for a
bulletin board. He used 7/12 roll for the
border. What fraction of the roll of green
streamer does Tim have left?
O
O
O
O
17. Which fraction is not equivalent to ¼?
Add the 2 numbers to get the
answer.
6 ÷ 2 = 3
Simplify 8 ÷ 2
4
+1 1
8
3 6=3
8 4
O
O
O
O
1.21
1.71
10.79
1.79
One whole flat shaded in equals 1. All you then
need to do is count the number of little squares
that are shaded to get the decimal part of the
answer. There are 79 squares shaded in on the
second flat. (1 whole and 79 hundredths)
20. Eric has 1/4 pound of fudge. Which
shows an equivalent fraction to 1/4?
15. Which sum of fractions shows 0.38?
O
O
O
O
3/10 + 8/10
3/10 + 8/100
3/100 + 8/100
3/100 + 8/10
0.38
5/10
0.50
5/100
0.5
= 0.5
= 0.5
= 0.05
= 0.5
O
12 = 3
16
4
O
16 = 1
16
tenths hundredths
16. Which has a different value than all the
others?
O
O
O
O
O
8 = 1
16 2
O
4 = 1
16 4
SHORT RESPONSE QUESTION
Directions: Read all parts of the short response question before you begin. Write your answers to the short response
question in the space provided. For each short response question, use the grid provided to create any required charts or
graphs. If a question does not require a chart or graph, write your written response over the grid lines.
Mr. Caudill bought 4 ¼ feet-long wooden board.
He wants to cut a piece that is 2 ¾ feet from the board.
A. How long will the board be that Mr. Caudill has left? Show your work.
B. Show your answer for Part A in simplest form.
21.
3
A. 4 1 + 4 = 5
4
4 4
- 2 3
4
1 2
4 feet
Mr. Caudill's board will be
1 2/4 feet long or 1 1/2 feet
long if you simplify the fraction.
B.
1 2 ÷ 2 = 1
4 ÷ 2
2
= 1 1/2 feet
OPEN RESPONSE QUESTION
Directions: Read all parts of each open response question before you begin. Write your answers to the open response
questions in the space provided. For each open response question, use the grid provided to create any required charts or
graphs. If a question does not require a chart or graph, write your written response over the grid lines.
Collin bought 5/6 pound of sliced turkey and 9/6 pounds of sliced ham.
A. How many pounds of meat did he buy in all? Show your work.
B. Collin also bought 2 1/6 pounds of fish. How many more pounds of fish did he buy than the
sliced turkey? Show your work.
22.
A. 5 + 9 = 14 = 2 2
6
6
6
6
14 ÷ 6 = 2 R2
Simplified 2 ÷ 2 = 1
6 ÷ 2
3
Simplified = 2 1
3 pounds
Collin bought 2 2/6 or 2 1/3 pounds of meat.
1
B. 2 1 + 6 = 7
6
6 6
-
5
Simplified 2 ÷ 2 = 1
6
6 ÷ 2
3
1 2
1 1
6 or
3 more pounds of fish.
1 1
3 more pounds of fish is the simplified answer.
Collin bought 1 2/6 or 1 1/3 more pounds of fish than sliced turkey.