Linear equations with fractions
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Solve (1x + 2)/2 = 5/2.
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Answer: 3
- Multiply both sides by 2.
- 1x + 2 = 5.
- Subtract 2 and divide by 1: x = 3.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Clear denominators or combine equivalent fractions before solving.
Read the official VCAA curriculum description (VC2M10A12)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
- VC2M10A12-C01Multiply every term in an equation by a non-zero denominator.
- VC2M10A12-C02Use a common multiple of numerical denominators.
- VC2M10A12-C03Apply and explain linear equations with fractions using calculate and explain each step.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Clear the fractionMultiply every term in an equation by a non-zero denominator.
- D02Clear several fractionsUse a common multiple of numerical denominators.
- D03Calculate and explain each stepApply and explain linear equations with fractions using calculate and explain each step.