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      New
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      Checking and securing understanding of calculating with fractions and decimals

      I can evaluate an expression involving decimals and fractions.

      Lesson 2 of 11
      New
      New
      • Year 10

      Checking and securing understanding of calculating with fractions and decimals

      I can evaluate an expression involving decimals and fractions.

      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.

      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

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      Write $$\frac {3}{5}$$ as a decimal.

      Correct Answer: 0.6

      Q2.
      Convert 20.2 into a mixed number.

      $$20 \frac{2}{5}$$
      $$20 \frac{2}{100}$$
      Correct answer: $$20 \frac{1}{5}$$

      Q3.
      Convert 8.8 into a mixed number.

      Correct answer: $$8 \frac{4}{5}$$
      $$8 \frac{8}{100}$$
      $$ \frac{88}{10}$$

      Q4.
      Which of these is equivalent to 0.09?

      $$\frac{9}{10}$$
      Correct answer: $$\frac{9}{100}$$
      $$\frac{9}{1000}$$

      Q5.
      Which of these is equivalent to 0.85?

      $$\frac{85}{1000}$$
      Correct answer: $$\frac{17}{20}$$
      $$\frac{42}{50}$$

      Q6.
      Which of these is equivalent to 0.216?

      $$\frac{213}{100}$$
      $$\frac{21}{120}$$
      Correct answer: $$\frac{27}{125}$$

      Assessment exit quiz

      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 $$\frac{3}{5} + \frac{2}{7}$$

      $$\frac{5}{12}$$
      Correct answer: $$\frac{31}{35}$$
      $$\frac{10}{35}$$

      Q6.
      Calculate 0.3 × 0.2, giving your answer as a decimal.

      Correct Answer: 0.06

      Lesson appears in

      UnitMaths / Arithmetic procedures: index laws