Subtract a proper fraction from a mixed number crossing the whole
I can subtract a proper fraction from a mixed number crossing the whole.
- Year 4
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.
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
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.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Ten one-tenths is equivalent to whole.
Q2.$$ {8} \over {10}$$ - $$ {6} \over {10}$$ =
Q3.Match the expressions to the difference.
$$ {2} \over {4}$$ - $$ {3} \over {4}$$ − $$ {1} \over {4}$$
$$ {1} \over {4}$$ - $$ {3} \over {4}$$ − $$ {2} \over {4}$$
$$ {1} \over {5}$$ - $$ {3} \over {5}$$ − $$ {2} \over {5}$$
$$ {2} \over {5}$$ - $$ {4} \over {5}$$ − $$ {2} \over {5}$$
$$ {2} \over {8}$$ - $$ {6} \over {8}$$ − $$ {4} \over {8}$$
Q4.Use the part-part-whole model to express $$ {15} \over {6}$$ as a mixed number.
Q5.Match the improper fractions to their equivalent mixed number.
$$ {9} \over {5}$$ - $$1{{4} \over {5}}$$
$$ {18} \over {5}$$ - $$3{{3} \over {5}}$$
$$ {29} \over {5}$$ - $$5{{4} \over {5}}$$
$$ {34} \over {5}$$ - $$6{{4} \over {5}}$$
$$ {46} \over {5}$$ - $$9{{1} \over {5}}$$
Q6.Match the mixed number to their equivalent improper fraction.
$$2{{4} \over {9}}$$ - $$ {22} \over {9}$$
$$3{{4} \over {5}}$$ - $$ {19} \over {5}$$
$$1{{6} \over {9}}$$ - $$ {15} \over {9}$$
$$2{{1} \over {5}}$$ - $$ {11} \over {5}$$
$$5{{3} \over {9}}$$ - $$ {48} \over {9}$$
Assessment exit quiz
6 Questions
Q1.Use the number line to calculate 6 − $$ {3} \over {4}$$ =
Q2.Match the expression to its difference.
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 − $$ {1} \over {4}$$ - $$3{{3} \over {4}}$$
Q3.Calculate this. $$5{{1} \over {4}}$$ − $$ {3} \over {4}$$ =
Q4.Match the expression to its difference.
$$2{{4} \over {6}}$$ - $$3{{1} \over {6}}$$ − $$ {3} \over {6}$$
$$1{{5} \over {6}}$$ - $$2{{2} \over {6}}$$ − $$ {3} \over {6}$$
$$1{{3} \over {6}}$$ - $$2{{1} \over {6}}$$ − $$ {4} \over {6}$$
$$3{{5} \over {6}}$$ - $$4{{3} \over {6}}$$ − $$ {4} \over {6}$$
Q5.Andeep has three metres of rope. He cuts off six-tenths of a metre. There is two and tenths metres left.
Q6.Izzy has four and two-tenth litres of water in a bucket. She uses six tenths of a litre to water some plants. How much water does she have left in her bucket?
