A mixed number is a whole number and a fraction combined. For example: one and a half is a mixed number.

Efficiently solve addition problems (within a whole)

Maths

In this unit pupils will make efficient choices about the order they solve an addition and subtraction problem in. In the future unit pupils will express and convert a quantity from an improper fraction to a mixed number and explain how a mixed number is converted into an improper fraction.

In the prior unit pupils estimated the position of numbers on a number line using fraction sense. They compared and ordered mixed numbers using fraction sense when the whole number and the numerator of the fractional part was the same. In this unit pupils will make efficient choices about the order they solve an addition and subtraction problem in.

Addition and subtraction of fractions and mixed numbers (within a whole)

Calculate this: $$1{{3} \over {5}}$$ + $$ {1} \over {5}$$ = ?

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

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

$$4{{2} \over {8}}$$ + $$ {3} \over {8}$$

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

___ + $$1{{3} \over {7}}$$ = $$1{{5} \over {7}}$$

3 + $$ {2} \over {9}$$ + $$1{{3} \over {9}}$$ + $$ {2} \over {9}$$ = ?

$$3{{3} \over {10}}$$ + $$2{{4} \over {10}}$$ = ?

Jacob has three and one-fifth metres of rope. Sofia has five and two-fifths metres of rope. How many metres of rope do they have in total?

Look at this number $$2 {{5} \over {6}}$$ We say it as two and five {{ }}.

Look at the part-part-whole model. What is the missing part?

Look at the part-part-whole model. $$5 {{8} \over {10}}$$ is composed of five wholes and eight-{{ }}

Which fraction shows how much of the bar has been shaded grey?

Sofia drinks one-fifth of a litre of water in the morning and two-fifths of a litre of water in the afternoon. How many litres has she drunk in total?

Starter Quiz