Efficiently solve addition problems (within a whole) | Maths

Starter quiz

Look at this number $2 {{5} \over {6}}$ We say it as two and five ______.

'sixths' ✓
Look at the part-part-whole model. What is the missing part?

2 ✓

3

${2} \over {5}$

${5} \over {3}$

5
$Look at the part-part-whole model. <Math>5 {{8} \over {10}}</Math> is composed of five wholes and eight-<span class="blank">______</span>$

Look at the part-part-whole model. $5 {{8} \over {10}}$ is composed of five wholes and eight-______

'tenths' ✓
$Which fraction shows how much of the bar has been shaded grey?$

Which fraction shows how much of the bar has been shaded grey?

${2} \over {3}$

${3} \over {2}$

${3} \over {5}$ ✓

${3} \over {6}$
Match the expressions to their sum.

${1} \over {4}$ + ${2} \over {4}$

⇔

${3} \over {4}$ ✓

${1} \over {6}$ + ${3} \over {6}$

⇔

${4} \over {6}$ ✓

${2}\over {10}$ + ${3} \over {10}$

⇔

${5} \over {10}$ ✓

${3} \over {8}$ + ${2} \over {8}$

⇔

${5} \over {8}$ ✓
Sofia drinks one-fifth of a litre of water in the morning and two-fifths of a litre of water in the afternoon. How many litres has she drunk in total?

${3} \over {10}$

${3} \over {5}$ ✓

${5} \over {3}$

$1{{3} \over {5}}$

Exit quiz

Calculate this: $1{{3} \over {5}}$ + ${1} \over {5}$ = ?

${5} \over {5}$

$1{{4} \over {10}}$

$1{{4} \over {5}}$ ✓

$2{{4} \over {5}}$
Match the equations to their sum.

$1{{4} \over {5}}$ =

⇔

$1{{3} \over {5}}$ + ${1} \over {5}$ ✓

$2{{6} \over {8}}$ =

⇔

$2{{3} \over {8}}$ + ${3} \over {8}$ ✓

$4{{5} \over {8}}$ =

⇔

$4{{2} \over {8}}$ + ${3} \over {8}$ ✓

$2{{4} \over {8}}$ =

⇔

$2{{1} \over {8}}$ + ${3} \over {8}$ ✓
___ + $1{{3} \over {7}}$ = $1{{5} \over {7}}$

${7} \over {2}$

${1} \over {7}$

${2} \over {7}$ ✓

$1{{2} \over {7}}$
3 + ${2} \over {9}$ + $1{{3} \over {9}}$ + ${2} \over {9}$ = ?

${11} \over {9}$

$3{{7} \over {9}}$

$4{{7} \over {27}}$

$4{{7} \over {9}}$ ✓
$3{{3} \over {10}}$ + $2{{4} \over {10}}$ = ?

$5{{7} \over {20}}$

${15} \over {10}$

$5{{7} \over {10}}$ ✓

$6{{7} \over {10}}$
Jacob has three and one-fifth metres of rope. Sofia has five and two-fifths metres of rope. How many metres of rope do they have in total?

$8{{3} \over {10}}$

$8{{3} \over {5}}$ ✓

$8{{11} \over {5}}$

$8{{11} \over {10}}$

Worksheet

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Video

Lesson Details

Key learning points

Mixed numbers can be combined in the same way as whole numbers.
If fractions have the same denominator, they can be added.
To add fractions with the same denominator, the language of unitising can be used.

Common misconception

Children may add the incorrect parts of the mixed numbers and/or proper fractions together.

Guide pupils through with questioning. What is the whole number part? What is the fractional part? First we add the whole number parts then we add the fractional parts using unitising.

Keywords

Mixed number - A mixed number is a whole number and a fraction combined. For example: one and a half is a mixed number.