Fractions as Sums
Add and Subtract Mixed Numbers
Subtraction with Renaming
Adding fractions using the properties of addition
Multistep Fraction Problems
100
Darren has 8/10 pound of clay figures. He wants to use 1/10 pound of clay for each figure. How many clay figures can he make?
What are 8 clay figures?
100
Steven has two lengths of copper pipe to fit together. One has a length of 4 & 5/12 feet and the other has a length of 9 & 7/12 feet. How many feet of pipe does he have?
14 feet.
100
Ivan made 22 pounds of roasted almonds for a fair. He has 7 & 1/2 pounds left at the end of the fair. How many pounds of roasted almonds did he sell at the fair?
14 & 1/2 pounds.
100
Alvin cut a board into three pieces. One piece was 2 & 5/6 feet long. The second piece was 3 & 1/6 feet long. The third piece was 1 & 5/6 feet long. How long was the board?
7 & 5/6 feet.
100
Rongjie buys peanuts in 2 pound bags. He repackages them into bags that hold 5/6 pound of peanuts. How many 2-pound bags of peanuts should Rongjie buy so that he can fill the 5/6 pound bags without having any peanuts left over?
five 2-pound bags.
200
What are 3 ways you could write 8/10 as a sum of fractions? One of the ways has to be as a sum of unit fractions.
1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 Any other sum of fractions that is 8/10
200
The walking distance from our school to the Bowne house is 12 & 9/10 miles. The walking distance from our school to Jason Chen's house is 4 & 7/10 miles. In simplest form, how much greater is the walking distance between our school and the Bowne house than between our school and Jason Chen's house?
8 & 1/5
200
Jessica has 5 & 2/8 yards of fabric and need 2 & 6/8 yards to make a skirt. How much extra fabric will she have left after making the skirt?
2 & 4/8 yards
200
Molina cut a length of ribbon into four pieces to wrap four gifts. The lengths she cut were 16 & 7/12 inches, 10 & 3/12 inches, 4 & 9/12 inches, and 10 & 2/12 inches. If she used the whole ribbon, how long was her ribbon?
41 & 9/12 inches.
200
Several friends each had 2/5 of a bag of peanuts left over from the baseball game. They realized that they could have bought 4 fewer bags of peanuts between them. How many friends went to the game?
10 friends.
300
Stephanie's garden is divided into 5 equal sections. She will fence the garden into 3 areas by grouping some equal sections together. What part of the garden could each fenced area be.
Any sum of 5/5 where there are 3 addends.
300
During our class trip, we drove from school to get into the Manhattan a distance of 38 & 3/5 miles, and then drove an additional 11 & 2/5 miles to the Morris Jumel Mansion. If we traveled the same distance on the way back home, what was the distance traveled during the entire trip?
99 & 3/5 miles
300
Fill in the blank: 1 & 9/16 + ___________ = 3 & 8/16
1 & 15/16
300
Irene enjoys riding her bike. During a five-day biking trip, she rode 8 & 1/8 miles, 4 & 3/8 miles, 5 & 4/8 miles, 2 & 7/8 miles, and 6 & 1/8 miles. How many miles in all did she ride during the trip?
27 miles.
300
Fiona Liu knits 1/3 of a scarf in the morning and 1/3 of a scarf in the afternoon. How many days will it take Fiona Liu to knit 4 scarves?
6 days.
400
Acelin walked 3/4 of a mile. What is 3/4 written as a sum of unit fractions with a denominator 3 times the distance Acelin walked?
1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12
400
Find two mixed numbers so that the sum is 8 & 4/8 and the difference is 2 & 2/8
5 & 3/8 and 3 & 1/8
400
Tiffany mixed a total of 15 & 2/6 cups of juice. She and her friends drank 3 & 4/6 cups of juice. In simplest form, how much juice is left?
11 & 2/3.
400
Jiale's family likes bananas. On Monday they ate 1 & 3/4 pounds of bananas. On Tuesday, they ate 2 & 2/4 pounds. On Wednesday, they ate 2 & 1/4 pounds. On Thursday, they ate 1 & 2/4 pounds. How many pounds did Jiale's family eat during the four days?
8 pounds.
400
Minnie cut equal lengths of ribbon each 7/10 feet long. The ribbon was 3 & 1/2 feet long. How many pieces did Minnie cut?
5 pieces.
500
Angela is asked to color 7/7 of her grid. She must use 3 colors: orange, yellow, and purple. There must be more orange sections than yellow sections or purple sections. What are the different ways Angela can color the sections of her grid and follow all the rules?
5/7 orange, 1/7 yellow, 1/7 purple 4/7 orange, 1/7 yellow, 2/7 purple 4/7 orange, 2/7 yellow, 1/7 purple 3/7 orange, 2/7 yellow, 2/7 purple
500
Find two mixed numbers so that the sum is 21 & 1/6 and the difference is 4 & 3/6
12 & 5/6 and 8 & 2/6
500
The length of a trumpet is 10 & 1/4 feet and the length of a cornet is 6 & 3/4 feet. How much longer is the trumpet than the cornet?
3 & 2/4 feet.
500
Mr. Dorsainvil runs a catering business. He is buying fruit to make a large order for fruit salad. He buys 5 & 3/10 pounds of apples, 3 & 4/10 pounds of oranges, 2 & 1/10 pounds of bananas, 4 & 3/10 pounds of green grapes, and 5 & 4/10 pounds of red grapes. How many pounds of fruit did Mr. Dorsainvil buy in all?
20 & 5/10 pounds.
500
Mr. Dorsainvil had 10 pounds of raisins. He has 16 students. He gave each student 3/5 pound. He kept the leftover raisins for himself. How much did he keep for himself?
2/5 pound.
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