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

Add mixed numbers crossing the whole

Subtract a proper fraction from a mixed number crossing the whole

Choose efficient approaches when subtracting mixed numbers

Solve problems involving addition and subtraction of mixed numbers

In this unit pupils will add mixed numbers. They 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..

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

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

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

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

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

Starter Quiz

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