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

The minuend is the first number in a subtraction. The number from which another number is to be subtracted.

The subtrahend is the number that is to be subtracted. The second number in a subtraction.

Choose efficient approaches when subtracting mixed numbers

Maths

Add mixed numbers crossing the whole

Subtract a proper fraction from a mixed number crossing the whole

Subtract a mixed number from a mixed number

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 counting back (reduction) to solve the calculation $$5{{1} \over {7}}$$ − $$1{{3} \over {7}}$$ equals three and {{ }} sevenths 

Use partitioning to solve the calculation $$6{{5} \over {7}}$$ − $$1{{3} \over {7}}$$ equals five and {{ }} sevenths

Use ‘finding the difference’ by counting on to solve $$6{{2} \over {7}}$$ − $$5{{5} \over {7}}$$

By expressing these mixed numbers as improper fractions, calculate this: 
$$9{{2} \over {8}}$$ - $$3{{5} \over {8}}$$ =

In a sequence decreasing by one and one-sixth, what would come next?

In a sequence decreasing by one and three-fifths, what would come next?

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

Match the mixed number to their equivalent improper fraction.

Match the improper fractions to their equivalent mixed number.

Use the number line to complete the sentence: the difference between $$3{{2} \over {8}}$$ and $$2{{5} \over {8}}$$ is {{ }} eighths 

Complete the missing box to make the equation correct.

This lesson was made for home learning during the pandemic.

Choose efficient approaches when subtracting mixed numbers

Lesson outcome

This lesson was made for home learning during the pandemic.