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.

Add mixed numbers crossing the whole

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)

Find the total value of the rods. Give your answer as a whole number if you can.

$$6{{4} \over {5}}$$ + $$ {3} \over {5}$$ = ?

Calculate $$1{{8} \over {9}}$$ + $$ {3} \over {9}$$ giving your answer as a conventional mixed number.

Calculate $$2{{8} \over {10}}$$ + $$1{3} \over {10}$$ giving your answer as a conventional mixed number.

$$2{{7} \over {9}}$$ + $$1{{3} \over {9}}$$ 

$$1{{5} \over {9}}$$ + $$1{{3} \over {9}}$$ 

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

$$3{{4} \over {9}}$$ + $$1{{5} \over {9}}$$

$$1{{3} \over {9}}$$ + $$2{8} \over {9}$$ 

The whole has been divided into six equal parts, each part is one-{{ }} of the whole.

$$ {3} \over {10}$$ + $$ {4} \over {10}$$ =

Use the part-part-whole model to express $$ {13} \over {4}$$ as a mixed number.

Match the improper fractions to their equivalent mixed number.

This lesson will be removed by end of Summer Term 2025.

Add mixed numbers crossing the whole

Lesson outcome

This lesson will be removed by end of Summer Term 2025.