Fractions Lesson 9-1 – Homework
Fractions Lesson 9-1 – SEATWORK
Name: ______________________________ Date: _________________
Recall that a fraction is used to name a part of a whole.
3 ( The NUMERATOR tells how many parts are described
4 ( The DENOMINATOR tells how many equal parts are described
1. Write a fraction for the part of the region or set that is shaded or…….
Shaded Clyde Blinky Shaded
________ ________ ________ ________
2. Shade the figure with the indicated fraction
Need more help? The following sites might be helpful
a fraction game
Fractions Lesson 9-1 – SEATWORK
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Fractions Lesson 9-1 – SEATWORK
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Fractions Lesson 9-1 – Homework
Name: ______________________________ Date: _________________
1. Write a fraction for the part of the region that is shaded.
________ ________ ________ ________
2. Draw a model to show each fraction. The last two should be part of a set. (please be neat)
1/6 2/7 (set) 5/8 (set) 7/9
3. Shade in each fraction
Be sure to check out the seatwork page for websites that provide extra help and games
Fractions Lesson 9-1 – Homework
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Fractions Lesson 9-2 Estimating Fractions– Seatwork
Name: __________________________________________________________ Date: _________________
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Fractions Lesson 9-2 Estimating Fractions– Seatwork
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Fractions Lesson 9-2 Estimating Fractions– Seatwork
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Fractions Lesson 9-2 Estimating Fractions– Homework
Name: ________________________________Date: _________________
Fractions Lesson 9-2 Estimating Fractions– Homework
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Fractions Lesson 9-3 Fractions, Length, & The Number Line– Seatwork
Name: _________________________ Date: _________________
Put in the missing fractions on the lines below
1 2 4 7 9
8 8 8 8 8
1 2 3
9 9 9
1 4 6
16 16 16
6 9 11
12 12 12
this site will provide a game that will allow you to practice
Fractions Lesson 9-3 Fractions, Length, & The Number Line– Seatwork
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Fractions Lesson 9-3 Fractions, Length, & The Number Line– Homework
Name: _______________________________ Date: _________________
In the time it took Gia to run a mile, five other runners had run the distances, in miles, shown below.
1/2 5/ 8 3/ 4 7/ 8 7/ 8
Which line plot shows the distances, in miles, the other five runners had run?
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Fractions Lesson 9-3 Fractions, Length, & The Number Line– Homework
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Fractions Lesson 9-4 Recognize and Generate Equivalent Fractions– Seatwork
Name: ________________________________ Date: _________________
Remember that an equivalent fraction may look different but actually name the same amount.
Multiply or divide to find equivalent fractions.
1 = _____ 2 = _____ 4 = _____
2 5 6
6 = _____ 8 = _____ 4 = _____
8 16 24
3 = _____ 5 = _____ 4 = _____
12 15 12
Lucy started knitting a scarf at a quarter to 5. She finished knitting the scarf at 10 minutes
after 7. How many minutes did it take Lucy to knit the scarf?
Fractions Lesson 9-4 Recognize and Generate Equivalent Fractions– Seatwork
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Fractions Lesson 9-4 Recognize and Generate Equivalent Fractions– Homework
Name: ___________________________ Date: _________________
Remember that an equivalent fraction may look different but actually name the same amount.
Multiply or divide to find equivalent fractions.
1 = _____ 3 = _____ 4 = _____
4 5 20
6 = _____ 8 = _____ 3 = _____
7 11 12
3 = _____ 5 = _____ 4 = _____
8 6 12
2 = _____ 7 = _____ 7 = _____
9 10 21
The number of houses in each of three cities is shown below.
• City 1 has 49,508 houses. • City 2 has 650,279 houses. • City 3 has 124,908 houses.
What is the total number of houses in all three cities rounded to the nearest thousand?
A. 820,000 B. 823,000 C. 824,000 D. 825,000
Fractions Lesson 9-4a Recognize and Generate Equivalent Fractions– Seatwork
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Fractions Lesson 9-4a Recognize and Generate Equivalent Fractions– Homework
Name: ________________________________ Date: _________________
Remember that an equivalent fraction may look different but actually name the same amount.
Multiply or divide to find equivalent fractions.
1 = _____ 2 = _____ 4 = _____
2 5 6
6 = _____ 8 = _____ 4 = _____
8 16 24
3 = _____ 5 = _____ 4 = _____
12 15 12
2 = _____ 8 = _____ 4 = _____
3 10 16
Jason has a red pail and a blue pail that are the same size. The red pail is 3/5 full with water. The blue pail is /9 /10 full with water. Which pail has more water in it?
Fractions Lesson 9-5 Fractions in Simplest Form– Seatwork
A Fraction is in simplest form when the numerator and the denominator have no common factors other than 1
To find the simplest form of a fraction, divide both the numerator and the denominator by the greatest common factor.
Simplify 9
15
Solve the following problems by finding the GCF and then dividing
4 = _____ 3 = _____ 6 = _____
12 9 18
Factors of 4: Factors of 3: Factors of 6:
Factors of 12: Factors of 9: Factors of 18:
12 = _____ 9 = _____ 9 = _____
18 12 24
Factors of 12: Factors of 9: Factors of 9:
Factors of 18: Factors of 12: Factors of 24:
In Mr. Thom’s marble collection, 5/12 of the marbles are glass and 3 /12 of the marbles are steel. What fraction of the marbles in Mr.Thom’s marble collection are either glass or steel?
TUTORIAL
Fractions Lesson 9-5 Fractions in Simplest Form– Seatwork
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Fractions Lesson 9-5 Fractions in Simplest Form– Homework
Name: ____________________________________ Date: _________________
Remember that a fraction in simplest form is a fraction in which the denominator and the numerator have no common factors other than 1.
3 = _____ 2 = _____ 4 = _____
12 10 8
12 = _____ 4 = _____ 4 = _____
16 6 24
2 = _____ 5 = _____ 4 = _____
12 15 12
15 = _____ 8 = _____ 4 = _____
18 10 16
Lesson 9-6 Using Number Sense to Compare Fractions– SEATWORK
Sometimes it is easy to know which fraction is greater.
With like fractions, all you do is check which fraction has the higher denominator, and that fraction is greater.
If the fractions have different denominators, they cannot be compared until they have the same denominators.
Which is larger, 2 or 3?
3. 4
2 = 8 (the numerator and the denominator is multiplied by 4)
3 12
3 = 9 (the numerator and the denominator is multiplied by 3)
4 12
Now it is easy to see that 3 is larger then 2 therefore( 3 > 2.
4 3 4 3
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Compare the following fractions
|3 |__ |1 | |6 |__ |3 |
|6 |__ |8 | |6 |__ |4 |
|6 |__ |3 | |3 |__ |2 |
|6 |__ |3 | |6 |__ |5 |
|1 |__ |5 | |3 |__ |9 |
|6 |
|3) |2 , |3 , |3 | | | |
|2 |
|2) |2 , |
Fractions Lesson 9-8 Mixed Numbers and Improper Fractions Seatwork
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Fractions Lesson 9-8 Mixed Numbers and Improper Fractions Homework
Remember: There are three types of fractions
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|Convert each improper fraction to mixed number or whole number. |
|10 |17 |11 |
| | | |
|3 |9 |8 |
| | | |
| | | |
|= |= |= |
| | | |
|19 |11 |9 |
| | | |
|2 |6 |7 |
| | | |
| | | |
|= |= |= |
| | | |
|11 |9 |13 |
| | | |
|4 |8 |3 |
| | | |
| | | |
|= |= |= |
| | | |
|Convert each improper fraction to mixed number or whole number. |
|7 |26 |25 |
| | | |
|2 |8 |7 |
| | | |
| | | |
|= |= |= |
| | | |
|21 |15 |18 |
| | | |
|6 |7 |5 |
| | | |
| | | |
|= |= |= |
| | | |
|33 |50 |22 |
| | | |
|9 |6 |8 |
| | | |
| | | |
|= |= |= |
| | | |
Mr. O’Hara takes toe wrestling classes every Tuesday and Thursday. Each class is 55 minutes long. How many hours of class will Mr. O’Hara have in three weeks?
Fractions Lesson 9-8a Mixed Numbers and Improper Fractions SEATWORK
Mixed Numbers to Improper fractions
The following directions are the steps to be able to change mixed numbers to improper fractions. First, you take the mixed number and multiply the denominator by the whole number. Then add the numerator to that answer. The denominator just stays the same.
The following directions are the steps to be able to change mixed numbers to improper fractions. First, you take the mixed number and multiply the denominator by the whole number. Then add the numerator to that answer. The denominator just stays the same.
For example:
|1 |3 |
| |4 |
4x1=4+3= 7
4
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Fractions Lesson 9-8a Mixed Numbers and Improper Fractions SEATWORK
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Fractions Lesson 9-8a Mixed Numbers and Improper Fractions SEATWORK
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Fractions Lesson 9-8a Mixed Numbers and Improper Fractions Homework
Name: ____________________________ Date: _________________
Remember: There are three types of fractions
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Convert each mixed number to improper fraction
|1) |2) |3) |
|5 |1 |9 |
| | | |
| | | |
|6 |7 |2 |
| | | |
|11 |8 |9 |
| | | |
| | | |
| | | |
| | | |
|= |= |= |
| | | |
|4) |5) |6) |
|1 |2 |9 |
| | | |
| | | |
|2 |8 |3 |
| | | |
|7 |9 |5 |
| | | |
| | | |
| | | |
| | | |
|= |= |= |
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|7) |8) |9) |
|4 |2 |2 |
| | | |
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|5 |3 |5 |
| | | |
|6 |8 |7 |
| | | |
| | | |
| | | |
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|= |= |= |
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|) |2) |3) |
|3 |1 |6 |
| | | |
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|2 |7 |3 |
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|7 |12 |4 |
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|= |= |= |
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|4) |5) |6) |
|1 |2 |3 |
| | | |
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|3 |8 |2 |
| | | |
|8 |11 |5 |
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|= |= |= |
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|7) |8) |9) |
|4 |7 |5 |
| | | |
| | | |
|5 |3 |5 |
| | | |
|9 |5 |8 |
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| | | |
| | | |
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|= |= |= |
| | | |
Mr. Walther went to juggling practice 7 times in three weeks. One time he juggled for 1 ½ hour. The other 6 times he juggled for 30 minutes each time. How many hours did Mr. Walther juggle in 3 weeks?
Fractions Lesson 9-11 Comparing Mixed Numbers and Improper Fractions– Homework
Name: _________________________________ Date: _________________
When comparing mixed numbers there are some simple steps you can make. Look at the problem below.
|2 |1 | |3 |1 |In this problem the whole numbers are different. This becomes easy. All you have to |
| | |_____ | | |do is compare the whole numbers. 2 < 3. Therefore 2 ½ < 3 ¼ |
| |2 | | |4 | |
|3 |1 | |3 |2 |In this problem the whole numbers are the same. All you have to do is compare the |
| |3 |_____ | |7 |fractions. Convert to common denominators: 1/3 = 7/21 & 2/7 = 6/21 |
| | | | | | |
| | | | | |7/21 > 6/21. |
| | | | | |Therefore 3 1/3 > 3 2/7 |
Solve the problems below.
|3 |
|3) |
|5) |
|7) |
|9) |
Fractions Lesson 9-9 B Compare and Ordering Fractions– Homework
REMEMBER: If two fractions have the same denominator (the bottom number) then they are easy to compare.
But if the denominators are not the same you need to make them the same
Determine what fraction goes in the middle to make the statement true
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Follow the same procedure, but place the fractions in order from greatest to least.
|1) |
|3) |
|5) |
|7) |
|9) |
|10 |17 |11 |
| | | |
|3 |9 |8 |
| | | |
| | | |
|= |= |= |
| | | |
|19 |11 |9 |
| | | |
|2 |6 |7 |
| | | |
| | | |
|= |= |= |
| | | |
|11 |9 |13 |
| | | |
|4 |8 |3 |
| | | |
| | | |
|= |= |= |
| | | |
|Convert each improper fraction to mixed number or whole number. |
|7 |26 |25 |
| | | |
|2 |8 |7 |
| | | |
| | | |
|= |= |= |
| | | |
|21 |15 |18 |
| | | |
|6 |7 |5 |
| | | |
| | | |
|= |= |= |
| | | |
|33 |50 |22 |
| | | |
|9 |6 |8 |
| | | |
| | | |
|= |= |= |
| | | |
Fractions Lesson 9-10 Mixed Numbers and Improper Fractions SEATWORK
Fractions Lesson 9-10 Mixed Numbers and Improper Fractions– Homework
Name: _______________________________ Date: _________________
Solve
Mr. Walther went to juggling practice 7 times in three weeks. One time he juggled for 1 ½ hour. The other 6 times he juggled for 30 minutes each time. How many hours did Mr. Walther juggle in 3 weeks?
Mr. O’Hara takes toe wrestling classes every Tuesday and Thursday. Each class is 55 minutes long. How many hours of class will Mr. O’Hara have in three weeks?
2. Chantel made a quilt using fabric squares that measured 3/ 4foot on each side. She used 6 squares to make the length of the quilt. What is the length, in feet, of Chantel’s quilt?
A. 1 1/ 3
B. 4 1/ 2
C. 6 3/ 4
D. 8
3. Add: 8 / 100 + 3 /10
A. 24 /1,000
B 11 /110
C. 38 /100
D. 38 /200
11. Jason has a red pail and a blue pail that are the same size. The red pail is 3/ 5 full with water. The blue pail is 9 /10 full with water. Which statement best explains why the blue pail has more water in it?
A. The numerator 9 is greater than the numerator 3.
B. The denominator 10 is greater than the denominator 5.
C. The fraction 3/5is equal to 6 /10, and 6 /10is less than 9 /10
D. The difference between the numerator and the denominator in 9/10 is less than it is in 3/ 5
12. To make a repair, Jane needs a piece of wood that is 7 1/ 8 inches long. She has a piece of wood that is 12 5/ 8 inches long. How many inches of wood needs to be cut off so she has exactly 7 1/ 8 inches remaining?
A. 4 4/ 8
B. 5
C. 5 4/ 8
D. 5 6/ 8
13. In Mr. Thom’s marble collection, 5 / 12 of the marbles are glass and 3 /12
of the marbles are steel. What fraction of the marbles in Mr. Thom’s marble collection are either glass or steel?
A. 1/ 6
B. 1/ 3
C. 5/ 8
D. 2/ 3
15. On Jenny’s farm 48 /100 of the trees are pine trees and 3 /10 of the trees are birch trees. What decimal number is equal to the fraction of the trees on Jenny’s farm that are either pine trees or birch trees?
A. 0.051
B. 0.078
C. 0.51
D. 0.78
34. Mikail rode her bike 1 3/ 4 miles from her school to the park. She then rode her bike 2 3/ 4 miles from the park to her home. What is the total distance Mikail rode her bike from her school, to the park, and to her home?
A. 3 3/ 8 miles
B. 3 2/ 4miles
C. 3 6/ 8 miles
D. 4 2/ 4 miles
36. Ellie is sorting books based on their thickness in inches. She makes a bar graph to show thenumber of books she has of each thickness.
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Ellie stacks all of the books on top of one another. How thick is Ellie’s stack of books?
A. 2 1/ 2 inches
B. 5 3/ 4inches
C. 8 3/ 4 inches
D. 14 inches
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ora
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| |and, | |
|× 3 | |× 2 |
| | | |
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|[pic] | |[pic] |
| | | |
|3 | |5 |
| = | | = |
|9 | |10 |
| | | |
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|8 | |12 |
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|24 | |24 |
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|[pic] | |[pic] |
| | | |
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|× 3 | |× 2 |
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9 ÷ 3 = 3
15 ÷ 3 = 5
3 is in simplest form
5
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Step One
Find the common factors of the numerator and the denominator
Factors of 9: ( 1, 3, 9
Factors of 15: ( 1, 3, 5, 15
Step 2
Divide the numerator and the denominator by the greatest common factor
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Sometimes you will have a shape that is not divided equally. The flag on the left has different bands of colors that are not the same size. About what part of this flag does the top most portion or stripe make up?
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