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Addition and subtraction word problems

Solve word problems involving addition and subtraction of fractions with like denominators, using visual models and equations

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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

The lesson

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' or 'poured out' usually mean subtract. Words like 'total' or 'altogether' usually mean add.

Tap to shade 1 of the 4 parts.
A jug had 3/4 litre of juice. After 2/4 litre was poured out, this model shows what remains: 3/4 - 2/4 = 1/4.
Try it together

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.

Good to know

Once you spot the clue word, write the fraction equation first. Then solve it the same way you already solve mixed numbers: whole numbers with whole numbers, fraction parts with fraction parts.

Turn the story into a fraction equation using the clue words, then solve it the way you already know how.

Watch it

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

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.

Addition and subtraction word problems · Mathematics, ages 9 to 10 · LightMySky