The expression in a fraction that is written above the fraction line. It is the dividend.

The expression in a fraction that is written below the fraction line. It is the divisor.

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

LCM is an abbreviation for lowest common multiple.

Checking understanding of addition and subtraction with fractions

Maths

In this unit, pupils generalised and developed their fluency of multiplying with fractions. In the future unit, this understanding is extended to ratio and connections between ratios and fractions are explored.

In the prior unit, pupils explored the structure of fractions and their relationship with decimals and integers. In this unit, pupils deepen their understanding of the arithmetic procedures involving fractions and integers.

This unit revisits and secures fraction operations and extends pupil understanding to division of whole numbers by fractions and division of fractions by fractions.

Arithmetic procedures with fractions

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.

Securing understanding of addition and subtraction with fractions

Checking understanding of multiplication with fractions

A product is the result of two or more numbers multiplied together.

An operation is commutative if the values it is operating on can be written in either order without changing the calculation.

Prime factors are the factors of a number that are, themselves, prime.

Securing understanding of multiplication with fractions

Deepening understanding of multiplication with fractions

The lowest common multiple is the lowest number that is a multiple of two or more numbers.

Checking and securing dividing a fraction by a whole number

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

Dividing a whole number by a fraction

A reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1

Dividing a fraction by a fraction

The additive inverse of a number is a number that, when added to the original number, gives the sum of 0.

Arithmetic procedures with fractions

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These lessons will be removed by end of Summer Term 2025.