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This page:
parts of wholes
 decimals
 fractions
 percentages

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Math Fundamentals
operations with numbers
number sense
number theory
parts of wholes
ratio & proportion
algebraic reasoning
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Math Fundamentals
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Math Fundamentals
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Fractions
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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
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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.
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A Pound of Tea
- Claire Mead
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Math Fundamentals, difficulty level 3. Find out how long a pound of tea would last Hazel if she were alone.
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Birthday Beach Bash
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Help determine how many balloons were needed for party favors at the end of this celebration.
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Birthday Pictures
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Join Ms. Juncos's fourth-grade team in a comparison of seasons of birthdays.
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Birthday Trip
- Kristina Lasher
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Math Fundamentals, difficulty level 3. Just how far is the trip to Aunt Mazie's house?
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Building Barns *
- Claire Mead
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Math Fundamentals, difficulty level 3. How long will it take Amy's crew to build a barn?
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Campers' Cider
- Elizabeth Gardner (Western Oregon University) & Math Forum Staff
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Math Fundamentals, difficulty level 2. How much cider did the campers press for the evening festivities?
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Catching Up!
- Kristina Lasher
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Math Fundamentals, difficulty level 3. Marika is catching up to her father's age. How can that be?
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Dad's Cookies
- Diane Anderson's Teaching the Young Learner Class
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Math Fundamentals, difficulty level 3. Figure out how many cookies Dad baked for the family before they ate them all!
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Filling Beauty's Seats
- Kristina Lasher and Claire Mead
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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.
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Fish in a Barrel
- Claire Mead
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Math Fundamentals, difficulty level 3. Find out how many fish Jake, Herman and Luke each took home from their
fishing trip.
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Flying Time Zones
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Help me figure out what time my watch should show when I land in Denver.
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Frugal Freeda
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Help Freeda decide which store has the best buy.
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Garden Fresh Fruit
- Shrawan Khanna's Ninth Grade Class
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Math Fundamentals, difficulty level 4. Help the poor farmer predict his revenue (if he can sell all his fruit).
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Giving with Grapefruit
- Lisa Lavelle & Western Oregon University Students
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Math Fundamentals, difficulty level 1. How much will Cassie help raise for charity?
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Good Fences
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Design a fence that will keep the animals happy.
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Greta's Garden
- Claire Mead
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Math Fundamentals, difficulty level 2. Find out how much money Greta made from each of her vegetables at the
Farmers's Market.
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How Many Actors?
- Kristina Lasher and Lisa Lavelle
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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?
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How Old is Dad?
- Claire Mead
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Math Fundamentals, difficulty level 2. Use the clues to find out how old Dad is.
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How Old is Santa Claus?
- Claire Mead
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Math Fundamentals, difficulty level 4. Use your knowledge of fractions to discover how old Santa is.
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A Jar of Coins
- Claire Mead
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Math Fundamentals, difficulty level 2. Use fraction clues to discover how many pennies, nickels, dimes and quarters I have in my
jar.
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Jellybean Fractions
- Lisa Lavelle
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Elementary, difficulty level 2. Determine good and bad choices in playing the Jellybean Fractions Game.
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Jumping Rope
- Leon Roland & class
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Math Fundamentals, difficulty level 2. Just how long was the rope with which we started?
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More Balloons
- Lisa Lavelle
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Math Fundamentals, difficulty level 5. Here's a more difficult problem based on our balloon color preferences.
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More Recess
- Kristina Lasher
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Math Fundamentals, difficulty level 3. Camilla checks out a kickball while Patrick brings his handball. How
much more recess does Patrick save?
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Pizza Dough
- Claire Mead
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Math Fundamentals, difficulty level 2. How much water does Mario need to use to make enough pizza dough for
him and his
friends?
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Raisin Nut Cookies
- Marsha May
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Math Fundamentals, difficulty level 4. Sarah needs to convert her cookie recipe for her cousin.
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School, Who Has Time?
- Lisa Lavelle (old remembered puzzle)
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Math Fundamentals, difficulty level 3. Given all the time we spend doing other things, how do we have time for school?
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Sharing Smelt
- Claire Mead
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Math Fundamentals, difficulty level 3. Find out how many smelt Larry caught Saturday morning.
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Sheila's Shelves
- Claire Mead
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Math Fundamentals, difficulty level 2. How much space will Sheila have on her new book shelves?
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Sprinkler Spray
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Compare the radii of three sprinklers in Lily's garden.
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Timber!!!
- Lisa and Judy Gardner
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Math Fundamentals, difficulty level 3. Determine the lengths of two pieces of a damaged redwood tree.
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Toys To Go
- Claire Mead
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Math Fundamentals, difficulty level 2. Help Sam determine the sale price of scooters at the toy store.
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Video Viewing
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Just how much television will Frank and Lisa watch?
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Wheels R Us
- Claire Mead
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Math Fundamentals, difficulty level 2. How many bicycles does Danielle have in her cycle shop?
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