Percent - Fraction - Decimal Landscape of Problems V

Percent - Fraction - Decimal Landscape of Problems V Word Problem Types 3 Dimensions: Objective, Application, Number Variation

V. Add and subtract fractions (and mixed numbers). Unless otherwise stated, state each answer as a proper fraction or mixed number in lowest terms. Pr Mixed Numbers Given op er Fr ac ti on s Gi ve n Sa Unlike denominators Answer must Same denominator Unlike Requires regrouping m be reduced, denominators e even though de orig’l was no reduced m in at or

©Jim Olsen, Hayley Moore, and Joseph Illichman, Western Illinois University. These problems may be used for classroom use. As of 10/19/2011, although reviewed, these problems may contain small typographical errors. Please report errors to [email protected]. Thank you. addition: Addition join Terry found of Jimbo ate 4/9 Shawna was Lawrence had Matt has some Lexi had Sarah had 4 Shelia was join means that the her puzzle on of the cookies making two hoses, one trail mix and garbage bags 3/8 rows to teaching piano resulting amount Monday and on from the bag cookie dough 7/10 of a foot wants more. If full of empty plant her lessons and is found by Tuesday she in the and placed in long, and one he already has soda cans. flowers. Beth had 4 ¾ hours adding the found another morning, and cup of sugar 4/7 of a foot cups, and Darla brought decided to give booked for changed amount of her puzzle. ¼ of the and cup of long. How bought cups, garbage bags up 1 1/8 rows each week. to the starting How much of cookies after flour in the much total hose how many of soda cans to allow Sarah Once she amount. the puzzle did lunch. How mixing bowl. did he have? cups does he and combined to plant more started Terry find? much of the How many have now? them with flowers. How advertising she bag of cookies cups of dry Lexi’s. What many rows was able to get did Jimbo ate? ingredients is the total does Sarah 2 ½ more are in the number of have to plant hours added to batter so far? garbage bags her flowers? her schedule. they have? How many hours total will she be teaching piano each week? addition: Part-part-whole Amy made Philip used the The The milk Ryan’s drink The gas-oil Tina was Carla was part-part- means that we are popcorn to eat computer for chocolate- mixture for the recipe is made mixture for making a fruit trying to whole adding 2 parts to during the of an hour and caramel recipe calls for up of quarts the chainsaw plate. She used reduce her find the whole movie. During then Shelia topping was 7/8 cups of 2% Sprite and was made up 2 1/8 pounds intake on soda. amount. the first half of used it for of made up of milk and ¼ cup quarts of of quarts of of On Saturday the movie she an hour. How cup of of cream. orange juice. gasoline and Strawberries she had 1 1/3 ate of the long was the chocolate and What is the How much quarts of oil. and also used cans of soda. popcorn and computer in cup of total amount of drink is there? What is the 3 2/3 pounds Then on during the use? caramel. the milk total amount of apples. How Sunday she second half she How many mixture? in the many pounds had 2 ¾ cans ate of the cups of mixture? of fruit did she of soda. How popcorn. How topping is serve on the many cans did much did she there? fruit plate? she drink eat by the end during the of the movie? weekend?

©Jim Olsen, Hayley Moore, and Joseph Illichman, Western Illinois University. These problems may be used for classroom use. As of 10/19/2011, although reviewed, these problems may contain small typographical errors. Please report errors to [email protected]. Thank you. addition: The two givens Flora’s Joe was doing Sammi went Sally used 7/8 Jared 1 2/7 The 4th grade Last fall, we Jannie ran for comparison are an amount backpack homework running for gallon of packs of is collecting collected 5 ¾ 1 hours to and how much weighed of a with his friend of an hour fertilizer on the pokemon pennies for St. bushels of train for the more another pound. Tessa’s Bill. Joe and her sister roses. On the cards. Heath Jude. Room apples. This marathon and amount is backpack finished his Jaci ran for daisies, she had 3 3/7 4A collected 2 year, we Steve ran 1 compared to the weighed of a homework in 2/4 hour used ¼ gallon more than buckets. collected ¾ hour more first. Find the pound more of an hour but longer than more compared Jared.How Room 4B more bushels than Jannie. other amount. than Flora’s. Bill had to Sammi. How to the amount many packs of collected of a than last year. How long did How much did keep working long di Jaci on the roses. cards did bucket more How many Steve run? Tessa’s hour longer. run? How much Heath have? than 4A. How bushels did we backpack How long did fertilizer was much did 4B collect this weigh? Bill work? used on the collect? year? daisies? Subtraction Take away means Jenna started Matt had cups Gabi started a NA Krista has 13 Holly was Maci had 8 3/4 Jenny started : take away that you are with cups of of flour. He cleaning ft. of fencing making a new bags of her October subtracting the sugar. To make decided to window and ended up dress. She potatoes chips year with 82 amount removed a batch of bake a cake business. She only using 11 started with 2 for the party. 7/10 dollars in from the starting cookies, she and the recipe started with of ft. fencing. 1/3 yards of At the party, her saving amount. used cups of called for 7/8 quart of How much fabric and 6 1/4 bagswere account. sugar. How cups of flour. cleaning fencing was realized that eaten. How During the much sugar How much fluid. She left over? she only many bags of month she does she have flower was left used 1/8 needed 1 ¾ chips were spent 11 9/10 leftover? over? quart to wash yards to make leftover? dollars. How a window. the dress. much money How cleaning How much did she have at fluid did she material the end of the have left? would she month? have left to make a skirt? subtraction: The two givens Mike had lbs of Carrie’s Caleb has 5/6 NA Julie painted 4 Kelsey ran a Jack studied Kevin raked 6 comparison are an amount jelly beans. figurine was of a chocolate 2/3 walls. marathon in 3 for hours. Jill ¼ bags of and how much Mary had lbs inches tall. bar, and his Scott painted ½ hours. The studied for leaves. Steven less another of jelly beans. Kacy’s Hugo had 1/3 3 1/3 walls. winner hours. How raked 5 5/8 amount is How many figurine was of a bar. How How many finished in much longer bags. How compared to the more pounds of inches. How much more more walls did hours. How did Jack many more first. Find the jelly beans did much taller did Caleb Julie paint? far behind study? bags did other amount. Mike have than was Carrie’s have was Kelsey? Kevin rake? Mary? figurine than compared to Kacy’s Hugo? figurine?

©Jim Olsen, Hayley Moore, and Joseph Illichman, Western Illinois University. These problems may be used for classroom use. As of 10/19/2011, although reviewed, these problems may contain small typographical errors. Please report errors to [email protected]. Thank you. subtraction: Completion is The bookstore Grandma Natalie was NA Amy wanted I need to drink Pam’s goal in We need 8 completion taking our given was having a Peppi’s goal giving away to fill 2 2/5 8 ½ cups of the long jump plates of mints amount and two-day was to walk buttons and baskets with water every is 13 and 7/12 for the party. finding out how blowout sale-- of a mile. On has ½ a box. flowers for the day. So far feet. So far, So far, we’ve far we are from everything had her first walk, She gave 2/7 wedding. If today I have her best jump made plates. reaching our goal. to go! On the she walked for of the box to she filled 1 3/5 drank 3 4/5 is 13 and 1/3 How many first day of the ¼ mile. How Dotty, how before lunch, cups of water. feet. How more plates of sale the much farther much does how much How many much farther mints do we bookstore got does Grandma she have left would she more cups does she need need? rid of of the Peppi’s have to give away? have to fill should I drink to jump to books. How to walk? after lunch? by the end of reach her goal? much of the the day? books did they have to get rid of on the last day? subtraction: Part-part-whole is Farmer John Hayley has ¾ The piece of NA Pat made 9 ¼ 6 5/6mini Four and Four schools missing taking our total had a field with cup of oil and property is quarts of pizzas were seven-eighths combined for a addend amount and both corn and water. If 5/9 7/8 of an punch out of left in the of the field trip at the (part-part- subtracting one beans. Three- cup is water, acre. Three- pineapple fridge, the precincts have end of the whole) part to find the sevenths of the how much oil eighths of an juice and kids ate 1 2/3 reported. Of school year. 2 other part. field is beans. is there? acre is a Sprite. If of them. those, have 3/5 of the How much of pond. How there were How much voted in favor schools the field is much of the quarts of pizza is building more decided they corn? property is Sprite, how casinos. How wanted to go land? much left for the many precincts to Wendy’s pineapple adults? are against the for lunch. The juice was in casinos? rest decided on the punch? Taco Bell How many schools wanted to go to Taco Bell?

©Jim Olsen, Hayley Moore, and Joseph Illichman, Western Illinois University. These problems may be used for classroom use. As of 10/19/2011, although reviewed, these problems may contain small typographical errors. Please report errors to [email protected]. Thank you.