Subtract a proper fraction from a mixed number crossing the whole
I can subtract a proper fraction from a mixed number crossing the whole.
Subtract a proper fraction from a mixed number crossing the whole
I can subtract a proper fraction from a mixed number crossing the whole.
Lesson details
Key learning points
- Rods or number lines can be used to support subtracting fractions from whole or mixed numbers.
- Mixed numbers can be expressed as improper fractions to aid subtraction.
- If an answer to a calculation is an improper fraction, this should be expressed as a mixed number.
- Improper fractions can be subtracted in the same way as proper fractions.
Common misconception
Children may not understand that a one can be exchanged from a whole and the fraction rewritten. E.g. four can be rewritten as three and five-fifths to add subtraction of an amount of fifths.
Use of rods or drawings will support children to understand this exchange. Four is the same as three and one; one is the same as five fifths so four is the same and three and five fifths.
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.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
$$ {2} \over {4}$$ -
$$ {3} \over {4}$$ − $$ {1} \over {4}$$
$$ {1} \over {4}$$ -
$$ {3} \over {4}$$ − $$ {2} \over {4}$$
$$ {1} \over {5}$$ -
$$ {3} \over {5}$$ − $$ {2} \over {5}$$
$$ {2} \over {5}$$ -
$$ {4} \over {5}$$ − $$ {2} \over {5}$$
$$ {2} \over {8}$$ -
$$ {6} \over {8}$$ − $$ {4} \over {8}$$
$$ {9} \over {5}$$ -
$$1{{4} \over {5}}$$
$$ {18} \over {5}$$ -
$$3{{3} \over {5}}$$
$$ {29} \over {5}$$ -
$$5{{4} \over {5}}$$
$$ {34} \over {5}$$ -
$$6{{4} \over {5}}$$
$$ {46} \over {5}$$ -
$$9{{1} \over {5}}$$
$$2{{4} \over {9}}$$ -
$$ {22} \over {9}$$
$$3{{4} \over {5}}$$ -
$$ {19} \over {5}$$
$$1{{6} \over {9}}$$ -
$$ {15} \over {9}$$
$$2{{1} \over {5}}$$ -
$$ {11} \over {5}$$
$$5{{3} \over {9}}$$ -
$$ {48} \over {9}$$
Exit quiz
6 Questions
4 − $$ {3} \over {4}$$ -
$$3{{1} \over {4}}$$
4 − $$ {3} \over {5}$$ -
$$3{{2} \over {5}}$$
4 − $$ {1} \over {5}$$ -
$$3{{4} \over {5}}$$
4 − $$ {2} \over {5}$$ -
$$3{{3} \over {5}}$$
4 − $$ {1} \over {4}$$ -
$$3{{3} \over {4}}$$
$$2{{4} \over {6}}$$ -
$$3{{1} \over {6}}$$ − $$ {3} \over {6}$$
$$1{{5} \over {6}}$$ -
$$2{{2} \over {6}}$$ − $$ {3} \over {6}$$
$$1{{3} \over {6}}$$ -
$$2{{1} \over {6}}$$ − $$ {4} \over {6}$$
$$3{{5} \over {6}}$$ -
$$4{{3} \over {6}}$$ − $$ {4} \over {6}$$