Word problems adding and subtracting fractions
Solve word problems involving addition and subtraction of fractions with like denominators, using visual models and equations
What a learner can do afterwards
- A jug contains 3/4 litre of juice; 2/4 litre is poured out — how much remains?
- Two pieces of ribbon are 2 3/8 and 1 5/8 inches — what is their total length?
- Draw a fraction model to represent and solve a fraction word problem
1 · Read
A word problem tells a story with numbers hidden inside it. Your job is to find the fraction equation the story is describing. Look for clue words. Words like 'left', 'cut off' or 'poured out' usually mean subtract. Words like 'total' or 'altogether' usually mean add.
You can also draw the story. Make a bar with the same number of equal parts as the bottom number, then shade the amount you start with. To take away, cross out that many parts. To add, shade on more. The parts still shaded are the answer.
Two pieces of ribbon measure 2 3/8 inches and 1 5/8 inches. The word 'total' means add: 2 3/8 + 1 5/8. Add the whole numbers first, 2 + 1 = 3. Then add the fraction parts, 3/8 + 5/8 = 8/8, which is 1 whole. So the ribbons together measure 3 + 1 = 4 inches.
Turn the story into a fraction equation using the clue words, then solve it the way you already know how.
2 · Watch
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Where it sits
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Where this leads
Jobs that lean on this skill. Follow one to see everything it is built on.
8 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.