Calculate with algebraic fractions
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Log in to continueAdd, subtract, multiply and divide simple algebraic fractions with valid denominator restrictions.
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Simplify (2x)/2 + (2x)/2.
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Answer: 2x
- The denominators are the same, so combine the signed numerators.
- Then divide the coefficient by 2.
- The result is 2x.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Add, subtract, multiply and divide simple algebraic fractions with valid denominator restrictions.
Read the official VCAA curriculum description (VC2M10A03)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M10A03-C01Combine algebraic fractions by preserving equivalent values.
- VC2M10A03-C02Multiply fraction factors and divide by a non-zero reciprocal.
- VC2M10A03-C03Carry out and explain operations with single-variable denominators.
- VC2M10A03-C04Apply and explain calculate with algebraic fractions using calculate and explain each step.
- VC2M10A03-C05Apply and explain calculate with algebraic fractions using read and connect representations.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Use a common denominatorCombine algebraic fractions by preserving equivalent values.
- D02Multiply or use a reciprocalMultiply fraction factors and divide by a non-zero reciprocal.
- D03Calculate and explain each stepApply and explain calculate with algebraic fractions using calculate and explain each step.
- D04Read and connect representationsApply and explain calculate with algebraic fractions using read and connect representations.