Story problems that add and subtract fractions
In 5th grade, children learn to solve word problems that add and subtract fractions of the same whole, and to check with estimates that their answers make sense.
By Robert “Bobby” BarnettMath teacher, parent, and founder of Bobby’s Math Club
Try these with your child
These are real questions from our 5th grade practice. Tap the speaker to hear one read aloud, or the light bulb for a hint, and talk about the answer together.
Question 1 of 3
Sione's pet snail crawls 3/4 foot before lunch and 1/2 foot after lunch. How far does it crawl in all?
- 1 1/4 feet
- 1 foot
- 4/6 foot
Why this matters
Story problems teach your child the part that matters most: knowing when a situation calls for adding or subtracting fractions. They also build the habit of asking whether an answer makes sense. That reasoning carries into ratio and rate problems in 6th and 7th grade, and into everyday moments like working out how much of a 7/8-yard ribbon is left.
Where kids can get stuck
- Accepting an impossible answer, like 2/5 + 1/2 = 3/7, without noticing it must be more than 1/2.
- Choosing the wrong operation, adding when the problem asks how much is left or how much more.
- Mixing different wholes, treating half of a small pizza and half of a large pizza as the same amount.
How you can help
- Make up a walking problem on your next outing: you walked 1/2 mile to the store and 1/4 mile to the library. Ask your child how far you walked in total and how much farther to make 1 mile.
- Use leftovers as a problem: if 5/8 of a pan of lasagna is left and the family eats 1/4 of the pan, how much remains? Let your child draw the pan and work it out, getting 3/8.
- Ask your child for a quick estimate before solving any fraction story. Is the answer more or less than 1? More or less than 1/2? Then compare the estimate to the exact answer.
Want a little more? Try Bobby's Math Club for free practice that adapts to your child.
Questions parents ask
Why is my child learning fraction word problems this way?
Word problems show whether your child understands when fractions are combined or taken away, not only how. Teachers ask children to draw models and estimate using benchmarks like 1/2 and 1 because those habits catch unreasonable answers. A child who knows 3/8 + 1/2 should be a little less than 1 can check their own exact answer.
What does it mean that fractions must refer to the same whole?
A fraction describes part of a particular whole. Half of a 6-inch sandwich is 3 inches, while half of a 12-inch sandwich is 6 inches. Both are 1/2, but they are not equal amounts. When adding or subtracting fractions in a story, the fractions need to be parts of the same thing for the answer to make sense.
My child can add fractions but freezes on word problems. What helps?
Encourage your child to retell the story in their own words and sketch it before choosing an operation. Ask, "Are we putting together, taking away, or comparing?" Starting with friendly fractions like halves and fourths can build confidence before moving to thirds and twelfths. Many children need time to connect the words to the math.
Make learning math fun
Bobby's Math Club turns 5th grade math practice into something fun to do together.
- Free, unlimited practice for every child in your family
- Questions matched to your child’s level, a few minutes a day
- Level-ups, badges, and a cheer for every win
Written by Robert “Bobby” Barnett
Bobby is an award-winning math teacher, the author of Meet Every Learner’s Needs, and the father of two elementary-school math learners. He uses Bobby’s Math Club with his own kids a few times every week. Learn more or contact Bobby.
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Join the clubNote for teachers: This skill is covered by Common Core math standard 5.NF.A.2: “Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.” Learn how Bobby's Math Club can help your students grow. (Common Core 5.NF.2)