A proper fraction is a fraction where the numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

A mixed number is an improper fraction written as its integer part plus the fractional part where the fractional part is a proper fraction.

Checking and securing converting improper fractions to mixed numbers

Maths

In this unit, pupils have explored the structure of fractions and their relationship with decimals and integers. This is built on in the future unit where pupils deepen their understanding of the arithmetic procedures involving fractions and integers.

In this unit, pupils will be asked to compare and order both fractions and decimals and will assess when conversion is required. Fluency in working with decimals and integers is an important skill which is developed in the prior unit.

This unit develops understanding and manipulation of fractions, including conversion between fractions to terminating and recurring decimals. Pupils then learn strategies to order fractions of increasing complexity.

Comparing and ordering fractions and decimals (positive and negative)

Match together each type of fraction with an example of that fraction.

Write the correct symbol (<, > or =) to complete the statement: 467 ÷ 466 {{ }} 1

Match each statement to the symbol that should go in the box.

Jun writes: $$\frac{12} {5} = \square \frac {2}{5}$$. Jun should write the number {{ }} in the box.

Izzy writes: $$\frac{19} {3} = 6 \frac {\square}{3}$$. Izzy should write the number {{ }} in the box.

Match each improper fraction to its equivalent mixed number.

Two fractions are equivalent if they have the same {{ }}.

Use the diagram to help you find two more fractions that are equivalent to $$4 \over 5$$.

Alex writes: $$\frac{3\times \square}{7\times \square} = \frac{12}{28}$$. What number should Alex write in each box?

Select all the fractions that are equivalent to $$1 \over 4$$.

Select all the fractions that are equivalent to $$5 \over7$$.

Match each fraction to an equivalent fraction.

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