Add fractions with the same denominator | Maths | Quizalize & Oak National Academy

Starter quiz

Which of these definitions describes an addend?

A number added to another number. ✓

All of the parts added together.
What is the missing number in this bar model?

'3' ✓
What addition is being shown by this number line?

2 + 3 = 5

5 = 3 + 2 ✓

2 + 5 = 3

3 = 2 + 5
A melon is cut into eight equal parts. What fraction is each part?

$\frac{2}{8}$

$\frac{1}{8}$ ✓

$\frac{1}{6}$

$\frac{1}{7}$
$How could we show the whole represented in this bar model using fraction notation?$

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

$\frac{5}{5}$ ✓

$\frac{4}{4}$

$\frac{3}{3}$

$\frac{2}{2}$
When the numerator and denominator are the same, what do we know about the value of the fraction?

It’s equivalent to one whole. ✓

It’s equivalent to 1 ✓

It’s equivalent to 0

Exit quiz

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

Ones

Bears ✓

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

addend

sum ✓

part
What addition is being represented on this number line?

$\frac{6}{8}$ + $\frac{3}{8}$ = $\frac{3}{8}$

$\frac{1}{8}$ + $\frac{5}{8}$ = $\frac{6}{8}$

$\frac{6}{8}$ + $\frac{5}{8}$ = $\frac{1}{8}$

$\frac{3}{8}$ + $\frac{3}{8}$ = $\frac{6}{8}$ ✓
Which is the correct sum for this equation? $\frac{3}{9}$ + $\frac{2}{9}$ = ___

$\frac{5}{18}$

$\frac{5}{9}$ ✓

$\frac{1}{9}$
Which is the correct sum for this equation? ___ = $\frac{2}{12}$ + $\frac{6}{12}$

$\frac{12}{24}$

$\frac{8}{24}$

$\frac{8}{12}$ ✓
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?

$\frac{3}{6}$ + $\frac{1}{6}$ = $\frac{4}{6}$ ✓

$\frac{3}{6}$ + $\frac{1}{6}$ = $\frac{6}{6}$

$\frac{6}{6}$ + $\frac{1}{6}$ = $\frac{4}{6}$

Worksheet

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Presentation

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Video

Lesson Details

Key learning points

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

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.

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.