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 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.

Starter Quiz