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Year 7

Ordering fractions by converting

I can compare and order fractions by converting to decimals.

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New
New
Year 7

Ordering fractions by converting

I can compare and order fractions by converting to decimals.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. Fractions can be converted to decimals by division.
  2. Fractions can be compared by converting them to decimals.
  3. A list of fractions can be ordered by converting them all to decimals.

Common misconception

Fractions with denominators that are not a factors of 10^n cannot be converted into a decimal.

This is a good opportunity to reiterate that fractions are an alternative way of writing a division.

Keywords

  • Decimal form - A number is in decimal form when the decimal point is shown and there are digits to the right of the decimal point.

  • Numerator - The expression in a fraction that is written above the fraction line. It is the dividend.

  • Denominator - The expression in a fraction that is written below the fraction line. It is the divisor.

Many pupils will automatically look to convert fractions to order them without considering already existing knowledge of the fractions. Pupils could come to the board and write their own list of fractions in order using only existing knowledge.
Teacher tip

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).

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Starter quiz

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6 Questions

Q1.
A number is in decimal form when the decimal point is shown and there are digits to the of the decimal point.
Correct Answer: right
Q2.
Select all the values that are greater than 0.3683
0.3634
0.357
Correct answer: 0.3759
0.3683
Correct answer: 0.36835
Q3.
What number is $$a$$ pointing to?
An image in a quiz
Correct Answer: 12.4
Q4.
What number is $$b$$ pointing to?
An image in a quiz
Correct Answer: 13.5
Q5.
What number is $$c$$ pointing to?
An image in a quiz
Correct Answer: 8.8
Q6.
What number is $$d$$ pointing to?
An image in a quiz
Correct Answer: 13.9

Exit quiz

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6 Questions

Q1.
The is the expression in a fraction that is written above the fraction line.
Correct Answer: numerator
Q2.
The is the expression in a fraction that is written below the fraction line.
Correct Answer: denominator
Q3.
Order the steps to show how to convert $$\frac{11}{20}$$ to a decimal
1 - $$\frac{11}{20} \times 1$$
2 - $$\frac{11}{20} \times \frac{5}{5}$$
3 - $$\frac{11 \times 5}{20 \times 5}$$
4 - $$\frac{55}{100}$$
5 - $$0.55$$
Q4.
In order to compare fractions and decimals, you must always convert them into the same form.
True
Correct answer: False
Q5.
Order these values from smallest to largest.
1 - $$3.4$$
2 - $$3\frac{1}{2}$$
3 - $$3\frac{3}{4}$$
4 - $$3.9$$
Q6.
Order these values from smallest to largest.
1 - $$0.85$$
2 - $$\frac{7}{8}$$
3 - $$\frac{23}{25}$$
4 - $$0.9375$$