A whole number and a fraction can be combined to form a mixed number.

You compare to find out what is the same and what is different. You can compare numbers or expressions to find out if one is greater than or less than another.

Partitioning is the act of splitting an object or value into smaller parts.

Multiply a mixed number by a whole number bridging a whole

Maths

In this unit pupils will multiply an improper fraction and a mixed number by a whole number. In the future unit pupils will find unit and non-unit fractions of whole numbers and explore parts and wholes.

In the prior unit pupils explained the relationship between repeated addition of a proper fraction and multiplication of fractions with both unit and not-unit fractions. They multiplied a proper fraction by a whole number. In this unit pupils will multiply an improper fraction and a mixed number by a whole number.

Multiply improper fractions and mixed numbers by a whole number

Tick the correct symbol to compare these two expressions. 

Write in the missing product. 2 × $$ 3\frac{4}{8} $$ = {{ }}

Tick the expressions that match this problem. Andeep walks the dog $$ 2\frac{1}{4} $$ km. He does this 3 times a week.

$$ 1\frac{1}{2} $$ × 4 = $$ 4\frac{1}{2} $$

4 × $$ 1\frac{1}{5} $$ = $$ 1\frac{4}{5} $$

$$ 1\frac{1}{10} $$ = 4 × $$ \frac{4}{10} $$

Tick expressions where the product would be greater than one whole.

Tick the correct symbol to compare these two expressions.

Tick the correct product. $$ 5\frac{2}{7} $$ × 3 = 

This lesson will be removed by end of Summer Term 2025.

Multiply a mixed number by a whole number bridging a whole

Lesson outcome

This lesson will be removed by end of Summer Term 2025.