Math Forum - Problems Library - Math Fundamentals, Parts of Wholes: Fractions

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Fractions
In these problems, fractions, are used to represent parts of unit wholes, parts of a collection, locations on the number line, and as divisions of whole numbers. Problems may require understanding the effects of arithmetic operations on fractions.

Related Resources
Interactive resources from our Math Tools project:
   Math 4: Fractions
   Math 4: Percentages
The closest match in our Ask Dr. Math archives:
   Elementary Fractions/Decimals
NCTM Standards:
   Number and Operations Standard for Grades 3-5

Access to these problems requires a Membership.

A Pound of Tea - Claire Mead
Math Fundamentals, difficulty level 3. Find out how long a pound of tea would last Hazel if she were alone. ... more>>

Birthday Beach Bash - Lisa Lavelle
Math Fundamentals, difficulty level 3. Help determine how many balloons were needed for party favors at the end of this celebration. ... more>>

Birthday Pictures - Lisa Lavelle
Math Fundamentals, difficulty level 3. Join Ms. Juncos's fourth-grade team in a comparison of seasons of birthdays. ... more>>

Birthday Trip - Kristina Lasher
Math Fundamentals, difficulty level 3. Just how far is the trip to Aunt Mazie's house? ... more>>

Building Barns * - Claire Mead
Math Fundamentals, difficulty level 3. How long will it take Amy's crew to build a barn? ... more>>

Campers' Cider - Elizabeth Gardner (Western Oregon University) & Math Forum Staff
Math Fundamentals, difficulty level 2. How much cider did the campers press for the evening festivities? ... more>>

Catching Up! - Kristina Lasher
Math Fundamentals, difficulty level 3. Marika is catching up to her father's age. How can that be? ... more>>

Dad's Cookies - Diane Anderson's Teaching the Young Learner Class
Math Fundamentals, difficulty level 3. Figure out how many cookies Dad baked for the family before they ate them all! ... more>>

Filling Beauty's Seats - Kristina Lasher and Claire Mead
Math Fundamentals, difficulty level 3. Use fractions to find out how many seats are still available for the school play and how much money the show will earn. ... more>>

Fish in a Barrel - Claire Mead
Math Fundamentals, difficulty level 3. Find out how many fish Jake, Herman and Luke each took home from their fishing trip. ... more>>

Flying Time Zones - Lisa Lavelle
Math Fundamentals, difficulty level 3. Help me figure out what time my watch should show when I land in Denver. ... more>>

Frugal Freeda - Lisa Lavelle
Math Fundamentals, difficulty level 4. Help Freeda decide which store has the best buy. ... more>>

Garden Fresh Fruit - Shrawan Khanna's Ninth Grade Class
Math Fundamentals, difficulty level 4. Help the poor farmer predict his revenue (if he can sell all his fruit). ... more>>

Giving with Grapefruit - Lisa Lavelle & Western Oregon University Students
Math Fundamentals, difficulty level 1. How much will Cassie help raise for charity? ... more>>

Good Fences - Lisa Lavelle
Math Fundamentals, difficulty level 3. Design a fence that will keep the animals happy. ... more>>

Greta's Garden - Claire Mead
Math Fundamentals, difficulty level 2. Find out how much money Greta made from each of her vegetables at the Farmers's Market. ... more>>

How Many Actors? - Kristina Lasher and Lisa Lavelle
Math Fundamentals, difficulty level 3. Can you help the director of the spring musical check to see if Madera spoke with each actor about costumes? ... more>>

How Old is Dad? - Claire Mead
Math Fundamentals, difficulty level 2. Use the clues to find out how old Dad is. ... more>>

How Old is Mia? - Claire Mead
Math Fundamentals, difficulty level 3. Use Mia's clues to find how old she is. ... more>>

How Old is Santa Claus? - Claire Mead
Math Fundamentals, difficulty level 4. Use your knowledge of fractions to discover how old Santa is. ... more>>

A Jar of Coins - Claire Mead
Math Fundamentals, difficulty level 2. Use fraction clues to discover how many pennies, nickels, dimes and quarters I have in my jar. ... more>>

Jellybean Fractions - Lisa Lavelle
Elementary, difficulty level 2. Determine good and bad choices in playing the Jellybean Fractions Game. ... more>>

Jumping Rope - Leon Roland & class
Math Fundamentals, difficulty level 2. Just how long was the rope with which we started? ... more>>

More Balloons - Lisa Lavelle
Math Fundamentals, difficulty level 5. Here's a more difficult problem based on our balloon color preferences. ... more>>

More Recess - Kristina Lasher
Math Fundamentals, difficulty level 3. Camilla checks out a kickball while Patrick brings his handball. How much more recess does Patrick save? ... more>>

Pizza Dough - Claire Mead
Math Fundamentals, difficulty level 2. How much water does Mario need to use to make enough pizza dough for him and his friends? ... more>>

Raisin Nut Cookies - Marsha May
Math Fundamentals, difficulty level 4. Sarah needs to convert her cookie recipe for her cousin. ... more>>

School, Who Has Time? - Lisa Lavelle (old remembered puzzle)
Math Fundamentals, difficulty level 3. Given all the time we spend doing other things, how do we have time for school? ... more>>

Sharing Smelt - Claire Mead
Math Fundamentals, difficulty level 3. Find out how many smelt Larry caught Saturday morning. ... more>>

Sheila's Shelves - Claire Mead
Math Fundamentals, difficulty level 2. How much space will Sheila have on her new book shelves? ... more>>

Sprinkler Spray - Lisa Lavelle
Math Fundamentals, difficulty level 4. Compare the radii of three sprinklers in Lily's garden. ... more>>

Timber!!! - Lisa and Judy Gardner
Math Fundamentals, difficulty level 3. Determine the lengths of two pieces of a damaged redwood tree. ... more>>

Toys To Go - Claire Mead
Math Fundamentals, difficulty level 2. Help Sam determine the sale price of scooters at the toy store. ... more>>

Video Viewing - Lisa Lavelle
Math Fundamentals, difficulty level 3. Just how much television will Frank and Lisa watch? ... more>>

Wheels R Us - Claire Mead
Math Fundamentals, difficulty level 2. How many bicycles does Danielle have in her cycle shop? ... more>>

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