Checking and securing understanding of calculating with fractions and decimals | Maths

Starter quiz

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

'0.6' ✓
Convert 20.2 into a mixed number.

$20 \frac{2}{5}$

$20 \frac{2}{100}$

$20 \frac{1}{5}$ ✓
Convert 8.8 into a mixed number.

$8 \frac{4}{5}$ ✓

$8 \frac{8}{100}$

$\frac{88}{10}$
Which of these is equivalent to 0.09?

$\frac{9}{10}$

$\frac{9}{100}$ ✓

$\frac{9}{1000}$
Which of these is equivalent to 0.85?

$\frac{85}{1000}$

$\frac{17}{20}$ ✓

$\frac{42}{50}$
Which of these is equivalent to 0.216?

$\frac{213}{100}$

$\frac{21}{120}$

$\frac{27}{125}$ ✓

Exit quiz

Calculate 0.3 + 0.34

'0.64' ✓
Calculate 0.28 + 0.36

'0.64' ✓
Calculate 0.96 - 0.47

'0.49' ✓
Calculate 0.3 - 0.93

'-0.63' ✓
Calculate $\frac{3}{5} + \frac{2}{7}$

$\frac{5}{12}$

$\frac{31}{35}$ ✓

$\frac{10}{35}$
Calculate 0.3 × 0.2, giving your answer as a decimal.

'0.06' ✓

Worksheet

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Video

Lesson Details

Key learning points

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

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.

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