Grasp Maths

Year 3

Add and subtract fractions with the same denominator within one whole

Add and subtract fractions with the same denominator by counting equal parts.

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Lesson overview

Number - fractions

When fractions have the same denominator, the whole is split into the same size parts. We keep the denominator the same and combine or remove the numerators.

Add quarters

14+24=34.\frac{1}{4} + \frac{2}{4} = \frac{3}{4}.

The denominator stays as 4 because the parts are still quarters.

Subtract fifths

4515=35.\frac{4}{5} - \frac{1}{5} = \frac{3}{5}.

Subtract the numerators and keep the denominator the same.

Use a fraction strip

Equal parts make the fraction calculation clear.

Three quarters.

The strip shows how many equal parts are counted.

Worked example

Work out 28\frac{2}{8} + 38\frac{3}{8}.

  1. Check that both fractions have the same denominator.
  2. They are both eighths, so the parts are the same size.
  3. Add the numerators: 2 + 3 = 5.
  4. So the answer is 58\frac{5}{8}.

Try it

Check that the denominators match, then add or subtract the numerators.

Question 1

What is 14\frac{1}{4} + 14\frac{1}{4}?

Question 2

What is 56\frac{5}{6} - 26\frac{2}{6}?

Question 3

Write the numerator in 38\frac{3}{8} + 28\frac{2}{8} = 58\frac{5}{8}.

Question 4

Which answer is correct for 45\frac{4}{5} - 15\frac{1}{5}?

Question 5

What stays the same when we add fractions with the same denominator?

Common mistakes

Watch for these when working through the lesson.

  • Changing the denominator when the parts stay the same size.
  • Adding the denominator as well as the numerator.
  • Trying to go beyond one whole when the lesson stays within one whole.

Related topics

These ideas fit closely with this lesson.

  • Recognise, find and write fractions of a discrete set of objects.
  • Compare and order unit fractions, and fractions with the same denominators.

Practice next

Independent practice will plug in here

This lesson introduces the idea clearly first. Deeper adaptive practice can sit here later.