Justify the order of fractions
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Log in to continueUse common units and a shared number line to compare fractions.
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Complete the equivalent fraction: 2/3 = □/9.
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Answer: 6
- The denominator was multiplied by 3.
- Multiply the numerator by 3 too: 6.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Use common units and a shared number line to compare fractions.
Read the official VCAA curriculum description (VC2M6N03)
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- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M6N03-C01Equivalent fractions in twelfths make halves, thirds and quarters directly comparable. Equal whole-number parts leave only the fractional parts to compare.
- VC2M6N03-C02A common scale lets different denominators be represented on the same line. Equivalent fractions are the same number, not separate points.
- VC2M6N03-C03Separate whole groups of denominator parts from the leftover parts. The improper and mixed forms describe the same position.
- VC2M6N03-C04Constructing a shared representation and justifying fraction order.
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Descriptor-derived subskills
- D01Compare halves, thirds and quartersEquivalent fractions in twelfths make halves, thirds and quarters directly comparable. Equal whole-number parts leave only the fractional parts to compare.
- D02Use equal number-line intervalsA common scale lets different denominators be represented on the same line. Equivalent fractions are the same number, not separate points.
- D03Explain a mixed representationSeparate whole groups of denominator parts from the leftover parts. The improper and mixed forms describe the same position.