New
New
Year 10
Foundation

Checking and securing understanding of calculating with fractions and decimals

I can evaluate an expression involving decimals and fractions.

New
New
Year 10
Foundation

Checking and securing understanding of calculating with fractions and decimals

I can evaluate an expression involving decimals and fractions.

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

Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.

These resources were created for remote use during the pandemic and are not designed for classroom teaching.

Lesson details

Key learning points

  1. Where a calculation contains a mixture of fractions and decimals, conversion is useful.
  2. Fluent use of your calculator is useful for both calculating and checking.
  3. Equivalent fractions can help to reduce the complexity of calculations.

Keywords

  • Equivalent fractions - Two fractions are equivalent if they have the same value.

  • Reciprocal - A reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1

Common misconception

The incorrect input of a mixed number is common i.e some pupils press a number then the fraction button. Others inefficiently sum the integer and proper fraction.

Reiterating the mixed number button is located above the proper fraction button.


To help you plan your year 10 maths lesson on: Checking and securing understanding of calculating with fractions and decimals, download all teaching resources for free and adapt to suit your pupils' needs...

Emphasise having a calculator and knowing how to use it are two different things. Generally, students have different calculators. Giving pupils time in class to familiarise themselves with their calculator and where certain functions are is important, especially using the "shift" key.
Teacher tip

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.
Write 35 as a decimal.
Correct Answer: 0.6
Q2.
Convert 20.2 into a mixed number.
2025
202100
Correct answer: 2015
Q3.
Convert 8.8 into a mixed number.
Correct answer: 845
88100
8810
Q4.
Which of these is equivalent to 0.09?
910
Correct answer: 9100
91000
Q5.
Which of these is equivalent to 0.85?
851000
Correct answer: 1720
4250
Q6.
Which of these is equivalent to 0.216?
213100
21120
Correct answer: 27125

6 Questions

Q1.
Calculate 0.3 + 0.34
Correct Answer: 0.64
Q2.
Calculate 0.28 + 0.36
Correct Answer: 0.64
Q3.
Calculate 0.96 - 0.47
Correct Answer: 0.49
Q4.
Calculate 0.3 - 0.93
Correct Answer: -0.63, -.63
Q5.
Calculate 35+27
512
Correct answer: 3135
1035
Q6.
Calculate 0.3 × 0.2, giving your answer as a decimal.
Correct Answer: 0.06
This site uses cookies to store information on your computer. Some of these cookies are essential, while others help us to improve your experience by providing insights into how the site is being used.