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

Solve problems involving mixed numbers

Maths

In this unit pupils will compose and decompose quantities made of whole numbers and fractional parts. In the future unit pupils will will estimate the position of numbers on a number line using fraction sense. They will compare and order mixed numbers using fraction sense when the whole number and the numerator of the fractional part is the same.

In the prior unit pupils identified equal parts when they did not look the same related to equivalence. They constructed a whole when given a part and the number of parts. In this unit pupils will compose and decompose quantities made of whole numbers and fractional parts.

Composition of fractions greater than one

Which model below represents this problem? Jacob listens to music for two hours on Monday and for half an hour on Tuesday. How long does he listen to music for in total?

Which model below represents this situation? Jacob bakes a cake. The mass of the cake is one and a quarter kg. He gives some cake to his friends then measures the mass left to be one kg.

Look at the part-part-whole model, which equations can be formed from it?

Jacob has a two and five-tenths of a metre length of wool. He uses two metres of it. How much ribbon does he have left over?

Sofia has kitten that has a mass of one kilogram. When she next measures its mass, it is eight-tenths of a kilogram heavier. What is its mass now in kilograms? 

Look at this mixed number $$2{{3} \over {9}}$$ We say it as {{ }} and three one-ninths.

Look at this mixed number $$5{{1} \over {6}}$$ We say it as ‘five and one-{{ }}.

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

Look at the part-part-whole model. $$6{{2} \over {3}}$$ is composed of 6 and two-{{ }}.

Select the correct sum. 7 + $$ {2} \over {5}$$ = ?

$$18{{3} \over {9}}$$ −  $$ {3} \over {9}$$ = ?

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