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Random Fractions
100
3/4 ____ 5/8
3/4 > 5/8
greater than
100
5/6 - 1/3 =
3/6 or 9/18
100
8 x 3/5 =
25/5 = 5
100
What does each X represent on the line plot?
1 day
100
0/3 + 1/3 + 2/3 + 3/3 = ?
6/3 = 2
200
7/10 __ 2/3
7/10 > 2/3
greater than
200
3/4 + 2/8 =
8/8 or 1
200
6 x 3/4
18/4 = 4 2/4
200
a) How many total measurements are shown?
B) What is the difference between the longest and shortest measurement?
C) What is the combined length of the three longest measurements?
A) 17
B) 3/4
C) 2 2/4
200
A container holds 8 1/2 pounds of birdseed.
After filling feeders, 5 3/4 pounds remain.
How many pounds were used?
8 1/2 - 5 3/4 = 2 3/4
300
9/12 ___ 3/4
9/12 = 3/4
equal
300
6/8 - 1/4 =
4/8 or 1/2
300
Liam needs 3/4 cup of sugar for one batch.
How much does he need for 6 batches?
3/4 x 6 = 18/4 = 4 2/4
300
Make a line plot to display the data.
300
0/4 + 1/4 + 2/4 + 3/4 + 4/4 = ?
10/4 = 2 2/4
400
1 4/5 ____ 20/8
1 4/5 < 20/8
less than
400
A backpack weighs 4 1/2 pounds. After adding books, it weighs 7 1/4 pounds.
How much do the books weigh?
11 3/4 pounds
400
A recipe uses 2/3 cup of milk per batch.
How much milk is needed for 9 batches?
2/3 x 9 = 18/3 = 6
400
A) What is the combined length of the three shortest nails in inches?
B) What is the difference in length between the longest and shortest nail in inches?
C) What is the total length of all the measurements combined?
A) 9/4 = 2 1/4
B) 2 - 3/4 = 1 1/4
C) 35 2/4
400
A baker uses 2/3 cup of flour per batch.
He makes 12 batches.
How many cups of flour are needed?
Express your answer as a mixed number.
2/3 x 12 = 24/3 = 8 cups
500
Student A says 7/8 is greater because 7 is greater than 5.
Student B says 5/6 is greater because sixths are larger pieces than eighths.
Who is correct?
Use models, common denominators, or reasoning to justify your answer.
7/8 x 3/3 = 21/24
5/6 x 4/4 = 20/24
7/8 is greater because when you find a common denominator of 24, 21/24 is greater than 20/24.
500
A hiker walked 3/4 mile in the morning and 5/6 mile in the afternoon.
a. How far did the hiker walk in total?
b. How much farther did the hiker walk in the afternoon than in the morning?
a) 3/4 + 5/6 =
3/4 x 3/3 = 9/12 and 5/6 x 2/2 = 10/12
9/12 + 10/12 = 19/12 = 1 7/12 miles
b) 5/6 - 3/4 =
10/12 - 9/12 = 1/12 mile
500
A recipe calls for 3/5 cup of oil per batch.
The baker makes 8 batches in the morning and 4 batches in the afternoon.
a. How much oil is used in the morning?
b. How much oil is used in the afternoon?
c. How much oil is used in all?
a) 3/5 x 8 = 24/5 = 4 4/5
b) 3/5 x 4 = 12/5 = 2 2/5
c) 4 4/5 + 2 2/5 = 6 6/5 = 7 1/5
500
The lengths of ribbon pieces (to the nearest 1/4 inch) are shown below:
2 1/4, 2 1/2, 2 1/4, 2 3/4,
3, 2 1/2, 2 3/4, 2 1/4
a. What is the total length of all ribbon pieces combined?
b. What is the difference between the longest and shortest piece?
c. If you combine the three shortest pieces, what is their total length?
a) 2 1/4 + 2 1/2 + 2 1/4 + 2 3/4 + 3 + 2 1/2 + 2 3/4 + 2 1/4 =
2 + 2 + 2 + 2+ 3 + 2 + 2 + 2 = 17
1/4 + 1/2 or 2/4 + 1/4 + 3/4 + 1/2 or 2/4 + 3/4 + 1/4= 13/4 = 3 1/4
17 + 3 1/4 = 20 1/4
b) 3 - 2 1/4 = 3/4
c) 2 1/4 + 2 1/4 + 2/14 = 6 3/4
500
The number sentences show a pattern in the sum of the fractions from 0 to 1 for different denominators.
0/2 + 1/2 + 2/2
0/4 + 1/4 + 2/4 + 3/4 + 4/4
0/6 + 1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6
Based on this pattern, which equation will have a sum that is a whole number?
A) 0/5 + 1/5 + 2/5 + ⋯ 5/5 =
B) 0/8 + 1/8 + 2/8 + ⋯ 8/8 =
C) 0/12 + 1/12 + 2/12 + ⋯ 12/12 =
A