To represent something means to show something in a different way.

We can estimate to find a value that is close enough to the right answer, usually with some thought or calculation involved.

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

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

Solve problems involving multiplication of mixed numbers by a whole number

Maths

Represent and multiply an improper fraction by a whole number.

Multiply a mixed number by a whole number not bridging a whole

Multiply a mixed number by a whole number bridging a whole

Solve problems involving fractions and mixed numbers

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.

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 expression that matches the problem. Izzy runs $$ 2\frac{1}{4} $$ kilometres on both Saturday and Sunday.

Tick the most appropriate estimates for $$ 4\frac{1}{6} $$  × 3

Estimate the value of this expression. Give your estimate as a whole number. $$ 2\frac{1}{8} $$  × 3 

Tick the product of this equation. $$ 5\frac{1}{3} $$  × 2 = ___ 

Order the expressions from largest to smallest.

Tick the correct expressions that represent the image.

Tick the most appropriate estimation for 312 + 486

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

Tick the correct symbol to compare these two expressions.

Starter Quiz

Tick the expressions.