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Year 7

Deepening understanding of multiplication with fractions

I can generalise and fluently use strategies to multiply with mixed numbers.

icon-background-square
New
New
Year 7

Deepening understanding of multiplication with fractions

I can generalise and fluently use strategies to multiply with mixed numbers.

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

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Lesson details

Key learning points

  1. Mixed numbers can be converted into improper fractions.
  2. It is not necessary to convert both fractions.
  3. Each fraction should be considered to decide the most efficient way to convert.

Keywords

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

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

  • Improper fraction - An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

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

Common misconception

Only finding the product of the integers and fractional parts when multiplying mixed numbers.

Link back to the area model, there will be 2 parts which they have not found the area of.


To help you plan your year 7 maths lesson on: Deepening understanding of multiplication with fractions, download all teaching resources for free and adapt to suit your pupils' needs...

Pupils will need to be confident with converting between improper fractions and mixed numbers. As the pupils are coming into the room have a mixed number written on the board and ask them to write down as many equivalent fractions as they can.
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Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

6 Questions

Q1.
A number that has exactly 2 factors is a number.
Correct Answer: prime
Q2.
Which of the following will be less than 20?
Correct answer: 25 ×20
20×113
65 ×20
Correct answer: 20×1920
Q3.
23 × 18is than 23 × 19.
Correct Answer: greater, more, larger
Q4.
Using this fact, 885 × 25140 = 1005950, which of the following are true?
285 × 25140 = 205950
Correct answer: 485 × 25140 = 505950
Correct answer: 1685 × 25140 = 2005950
Correct answer: 2085 × 25140 = 2505950
Q5.
Calculate 23 × 34 × 15. Give your answer as a mixed number.
152
9012
612
Correct answer: 712
Q6.
Calculate 132385 × 1518 by writing each numerator and denominator as a product of its prime factors.
Correct answer: 27
37
57
67

6 Questions

Q1.
Which of the following is the correct definition for an improper fraction?
A fraction where the numerator is greater than the denominator.
A fraction where the denominator is greater than the numerator.
Correct answer: A fraction where the numerator is greater than or equal to the denominator.
A fraction where the denominator is greater than or equal to the numerator.
Q2.
Convert 313 into an improper fraction.
73
83
93
Correct answer: 103
Q3.
Calculate 313 × 13.
Correct answer: 4313
4323
4413
4423
Q4.
Which of the following is not a correct method for calculating 125 × 434?
75 × 194
Correct answer: 1 × 2 + 25 × 34
Q5.
Calculate 235 × 323.
8815
8915
9715
Correct answer: 9815
9915
Q6.
Use the most efficient method to calculate 514 × 137. Give your answer in its simplest form.
152
172
Correct answer: 712
812