A mixed number is a whole number and a fraction combined.

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Subtract a mixed number from a mixed number

Maths

In this unit pupils will add mixed numbers They will subtract a proper fraction from a mixed number and subtract a mixed number from a mixed number explaining which strategy is most efficient In the future unit pupils will explain the relationship between repeated addition of a proper fraction and multiplication of fractions They will multiply a proper fraction by a whole number

In the prior unit pupils expressed and converted a quantity from an improper fraction to a mixed number and explained how a mixed number was converted into an improper fraction. In this unit pupils will add mixed numbers. They will subtract a proper fraction from a mixed number and subtract a mixed number from a mixed number explaining which strategy is most efficient 

Efficient strategies for adding and subtracting mixed numbers (crossing a whole)

Use the number line to complete the sentence: the difference between $$2{{1} \over {9}}$$ and $$1{{5} \over {9}}$$ is {{ }} ninths 

Calculate this $$3{{1} \over {5}}$$ − $$ 2{{3} \over {5}}$$ = ?

$$3{{1} \over {6}}$$ − $$2{{3} \over {6}}$$

$$4{{2} \over {6}}$$ − $$3{{5} \over {6}}$$

$$4{{3} \over {6}}$$ − $$3{{4} \over {6}}$$

$$5{{1} \over {6}}$$ − $$4{{5} \over {6}}$$

Andeep spends two and a quarter hours doing his homework. Izzy spends one and three-quarter hours doing her homework. How much more time did Andeep spend?

Izzy walks three and one-tenth kilometres on Saturday. On Sunday she walks one and four-tenth kilometres less than this. How far does she walk on Sunday?

$$ {8} \over {12}$$ − $$ {6} \over {12}$$ =

$$ {7} \over {4}$$ − $$ {1} \over {4}$$

$$ {9} \over {4}$$ − $$ {2} \over {4}$$

$$ {9} \over {4}$$ − $$ {7} \over {4}$$

$$ {14} \over {4}$$ − $$ {2} \over {4}$$

$$ {6} \over {4}$$ − $$ {3} \over {4}$$

Match the equations to the correct difference.

Match the improper fractions to their equivalent mixed number.

Match the mixed number to their equivalent improper fraction.

Calculate this. $$6{{1} \over {8}}$$ − $$ {3} \over {8}$$ = 

$$3{{1} \over {9}}$$ − $$ {3} \over {9}$$

$$2{{2} \over {9}}$$ − $$ {6} \over {9}$$

$$2{{1} \over {9}}$$ − $$ {4} \over {9}$$

$$4{{3} \over {9}}$$ − $$ {5} \over {9}$$

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