New
New
Year 5

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

I can multiply a mixed number by a whole number where the fractions do not bridge a whole.

New
New
Year 5

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

I can multiply a mixed number by a whole number where the fractions do not bridge a whole.

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## Lesson details

### Key learning points

1. Partition the mixed number into a whole number and a fraction.
2. Multiply the whole number part by the whole number factor.
3. Multiply the fraction by the whole number using unitising language.
4. Recombine the partial products to calculate the overall product.

### Common misconception

Pupils find it difficult to represent the problem as an expression or equation as they misinterpret what the whole is.

Draw attention to what the whole is in each example. You might like to build up each image with a whole at a time, describing the fraction of the whole that is shaded/represented.

### Keywords

• Repesent - To represent something is to show it in a different way.

• Mixed number - A mixed number is an improper fraction written as its whole number part plus the fractional part, where the fractional part is a proper fraction.

• Partition - Partition means to split an object or value down into smaller parts.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Starter quiz

### 6 Questions

Q1.
Tick the equation that represents the image.
Correct answer: 4 + 4 + 4
4 + 3
Q2.
Tick the expressions that could represent this image.
Correct answer: 6 + 6 + 6
7 + 7 + 7
7 × 3
Q3.
Tick the images that show a mixed number.
Correct Answer: An image in a quiz
Correct Answer: An image in a quiz
Q4.
Tick the mixed numbers
Correct answer: $$1\frac{3}{4}$$
7
Correct answer: $$3\frac{4}{5}$$
$$\frac{11}{4}$$
Q5.
Tick the numbers that could be converted to a mixed number.
$$\frac{7}{8}$$
Correct answer: $$\frac{9}{2}$$
$$\frac{7}{16}$$
Correct answer: $$\frac{15}{3}$$
Q6.
Match the improper fractions to the mixed number with the same value.
Correct Answer:$$\frac{7}{5}$$,$$1\frac{2}{5}$$

$$1\frac{2}{5}$$

Correct Answer:$$\frac{9}{5}$$,$$1\frac{4}{5}$$

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

Correct Answer:$$\frac{11}{5}$$,$$2\frac{1}{5}$$

$$2\frac{1}{5}$$

Correct Answer:$$\frac{13}{5}$$,$$2\frac{3}{5}$$

$$2\frac{3}{5}$$

Correct Answer:$$\frac{14}{5}$$ ,$$2\frac{4}{5}$$

$$2\frac{4}{5}$$

## Exit quiz

### 6 Questions

Q1.
Tick the numbers greater than 1
$$\frac{5}{6}$$
$$\frac{8}{8}$$
Correct answer: $$\frac{14}{12}$$
Correct answer: $$1\frac{1}{9}$$
Q2.
Tick the expressions that represent this image.
$$\frac{3}{5}$$ + 4
$$\frac{2}{5}$$ × 2
Correct answer: 2 × $$\frac{3}{5}$$
Correct answer: $$\frac{3}{5}$$ × 2
Q3.
Tick the expressions that represent this problem:It costs me £1.40 to catch the bus each day. I do this four times a week.
$$\frac{1}{40}$$ + $$\frac{1}{40}$$ + $$\frac{1}{40}$$
$$\frac{1}{40}$$ × 4
Correct answer: $$1\frac{40}{100}$$ × 4
$$\frac{1}{40}$$ + 4
Correct answer: 4 × $$1\frac{4}{100}$$
Q4.
Write in the missing number to make this equation correct.
$$16\frac{8}{36}$$
$$8\frac{8}{9}$$
Correct answer: $$16\frac{8}{9}$$
$$16\frac{2}{9}$$