Add mixed numbers crossing the whole
I can add mixed numbers crossing the whole.
Add mixed numbers crossing the whole
I can add mixed numbers crossing the whole.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Improper fractions can be added in the same way as proper fractions.
- A mixed number can be partitioned into its parts when adding it to improper or proper fractions.
- To add two mixed numbers, the whole number parts can be added and the fractional parts can be added.
- If the sum has a fractional part greater than one, this needs a conversion to express it as a conventional mixed number.
- A number line is a useful tool to use to support addition of mixed numbers.
Keywords
Mixed number - A mixed number is a whole number and a fraction combined.
Improper fraction - An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Common misconception
Adding the fractional part of a mixed number to a proper fraction may result in an improper fraction, which may be recombined with the whole number part of the mixed number and left as improper.
In a mixed number, the numerator of the fractional part must always be smaller than the denominator. If it is greater, a final conversion is needed.
Licence
Lesson video
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Starter quiz
6 Questions
$$ {1} \over {4}$$ + $$ {1} \over {4}$$ -
$$ {2} \over {4}$$
$$ {1} \over {4}$$ + $$ {2} \over {4}$$ -
$$ {3} \over {4}$$
$$ {1} \over {5}$$ + $$ {2} \over {5}$$ -
$$ {3} \over {5}$$
$$ {1} \over {5}$$ + $$ {3} \over {5}$$ -
$$ {4} \over {5}$$
$$ {2} \over {8}$$ + $$ {2} \over {8}$$ -
$$ {4} \over {8}$$
$$ {9} \over {4}$$ -
$$2{{1} \over {4}}$$
$$ {18} \over {4}$$ -
$$4{{2} \over {4}}$$
$$ {29} \over {4}$$ -
$$7{{1} \over {4}}$$
$$ {34} \over {4}$$ -
$$8{{2} \over {4}}$$
$$ {46} \over {4}$$ -
$$11{{2} \over {4}}$$
Exit quiz
6 Questions
$$4{{1} \over {9}}$$ -
$$2{{7} \over {9}}$$ + $$1{{3} \over {9}}$$
$$2{{8} \over {9}}$$ -
$$1{{5} \over {9}}$$ + $$1{{3} \over {9}}$$
4 -
$$3{{4} \over {9}}$$ + $$ {5} \over {9}$$
5 -
$$3{{4} \over {9}}$$ + $$1{{5} \over {9}}$$
$$4{{2} \over {9}}$$ -
$$1{{3} \over {9}}$$ + $$2{8} \over {9}$$