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

Solve problems involving fractions and mixed numbers

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 multiplication of mixed numbers by a whole number

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

Write the answer to the following equation. 4 × $$ \frac{5}{10} $$ = {{ }}

2 × $$ \frac{5}{8} $$ + 2 × $$ \frac{5}{8} $$

Tick the correct expressions that represent the image

Tick the equation this bar model represents.

Alex has 5 lessons that all last for $$ \frac{3}{4} $$ of an hour.

Izzy practises piano for $$ \frac{3}{4} $$ of an hour, five days a week. 

Sofia fills $$ \frac{3}{4} $$ of a glass with milk for breakfast every day. 

There was $$ \frac{3}{4} $$ of the cake remaining after the party. 

Tick the context that could be represented by this image.

Tick the bar model that best represents the problem. 
Andeep waters the plants for three nights. 
Each night, he fills up the watering can so it is $$ \frac{3}{4} $$ full. 
How much water does he use?

Sam climbs every week for $$ 1\frac{1}{4} $$ hours.
He does this for four weeks in a row.
It costs him £5 per hour. 
How much money does he pay for the four weeks?

Estimate the value of this expression. Give your estimate as a whole number.
$$ 3\frac{2}{15} $$ × 2

Tick the product of this equation. $$ 1\frac{3}{7} $$  × 3 = ___

Starter Quiz

Tick the equation this bar model represents.