This worksheet strengthens number sense by teaching students to convert between equivalent fractions and decimals, and to compare and order rational numbers on a number line. The worksheet is split into warm-up questions, standard questions and then extension questions to test you.
The concepts it covers:
- Equivalent fractions represent the same value, e.g. 1/2 = 2/4 = 4/8 — multiply or divide the numerator and denominator by the same number.
- A fraction is in simplest form when the numerator and denominator share no common factor except 1.
- Any fraction can be written as a decimal by dividing the numerator by the denominator.
- To compare fractions and decimals fairly, convert them to the same form (usually decimals) first.
- On a number line, values increase from left to right — the further right, the larger the value.
What your child will practise:
- Finding an equivalent fraction by multiplying (or dividing) top and bottom by the same number.
- Simplifying a fraction by dividing top and bottom by their highest common factor.
- Converting a fraction to a decimal by dividing the numerator by the denominator.
- Converting a terminating decimal to a fraction using place value, then simplify.
- Ordering a mixed set of fractions and decimals by converting everything to decimals first.
Every section opens with a worked example, and the download includes a full answer key with step-by-step solutions and teaching notes on the mistakes students most commonly make.
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