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      Add fractions with the same denominator

      Lesson details

      Learning outcome

      I can add fractions with the same denominator.

      Key learning points

      1. If fractions have the same denominator they can be added.
      2. If 2 plus 3 is equal to 5 then 2 one sevenths plus 3 one sevenths is equal to 5 one sevenths.
      3. To add fractions with the same denominator you use the language of unitising.

      Keywords

      • Units - The unit is one of something that defines the ‘one’ you are counting in.

      • Denominator - A denominator is the bottom number in a fraction. It shows how many parts a whole has been divided into.

      • Numerator - A numerator is the top number in a fraction. It shows how many parts we have.

      Common misconception

      Typically, many children add both the numerators and denominators together to get the sum.

      Pupils need to grasp units and unitising. Get them to move around the classroom/school performing simple additions with different sets of objects. Revisit fractions explaining that they're using unit fractions and this is shown by the denominator.

      Teacher tip

      You may want to provide the children with the chance to create their own representation of the watermelon slice calculation in the first lesson cycle before discussing what the Oak characters come up with. This will give ownership to the class.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      Which of these definitions describes an addend?

      Correct answer: A number added to another number.
      All of the parts added together.

      Q2.
      What is the missing number in this bar model?

      An image in a quiz
      Correct Answer: 3, three

      Q3.
      What addition is being shown by this number line?

      An image in a quiz
      2 + 3 = 5
      Correct answer: 5 = 3 + 2
      2 + 5 = 3
      3 = 2 + 5

      Q4.
      A melon is cut into eight equal parts. What fraction is each part?

      $$ \frac{2}{8} $$
      Correct answer: $$ \frac{1}{8} $$
      $$ \frac{1}{6} $$
      $$ \frac{1}{7} $$

      Q5.
      How could we show the whole represented in this bar model using fraction notation?

      An image in a quiz
      Correct answer: $$ \frac{5}{5} $$
      $$ \frac{4}{4} $$
      $$ \frac{3}{3} $$
      $$ \frac{2}{2} $$

      Q6.
      When the numerator and denominator are the same, what do we know about the value of the fraction?

      Correct answer: It’s equivalent to one whole.
      Correct answer: It’s equivalent to 1
      It’s equivalent to 0

      6 Questions

      Q1.
      Look at the picture. What is the unit of this addition?

      An image in a quiz
      Ones
      Correct answer: Bears
      Numerals

      Q2.
      Look at the image. What is the missing label marked with a question mark?

      An image in a quiz
      addend
      Correct answer: sum
      part

      Q3.
      What addition is being represented on this number line?

      An image in a quiz
      $$ \frac{6}{8} $$ + $$ \frac{3}{8} $$ = $$ \frac{3}{8} $$
      $$ \frac{1}{8} $$ + $$ \frac{5}{8} $$ = $$ \frac{6}{8} $$
      $$ \frac{6}{8} $$ + $$ \frac{5}{8} $$ = $$ \frac{1}{8} $$
      Correct answer: $$ \frac{3}{8} $$ + $$ \frac{3}{8} $$ = $$ \frac{6}{8} $$

      Q4.
      Which is the correct sum for this equation? $$ \frac{3}{9} $$ + $$ \frac{2}{9} $$ = ___

      $$ \frac{5}{18} $$
      Correct answer: $$ \frac{5}{9} $$
      $$ \frac{1}{9} $$

      Q5.
      Which is the correct sum for this equation? ___ = $$ \frac{2}{12} $$ + $$ \frac{6}{12} $$

      $$ \frac{12}{24} $$
      $$ \frac{8}{24} $$
      Correct answer: $$ \frac{8}{12} $$

      Q6.
      Which equation matches the problem? A pizza is cut into 6 slices. Sam eats three slices and Sofia eats one slice. What fraction of the pizza has been eaten?

      Correct answer: $$ \frac{3}{6} $$ + $$ \frac{1}{6} $$ = $$ \frac{4}{6} $$
      $$ \frac{3}{6} $$ + $$ \frac{1}{6} $$ = $$ \frac{6}{6} $$
      $$ \frac{6}{6} $$ + $$ \frac{1}{6} $$ = $$ \frac{4}{6} $$

      To help you plan your 3 maths lesson on: Add fractions with the same denominator, download all teaching resources for free and adapt to suit your pupils' needs...