Multiply and divide rational amounts
Practise online with Next and Previous buttons, worked explanations and a report of the questions to review.
Log in to continueUse efficient fraction and decimal methods, then check digitally when useful.
One-question preview
Choose one answer
Try this sample, or continue to the online quiz for a practice set with Next and Previous buttons.
Calculate 1/2 × 1/4. Give a fraction in simplest form.
Show worked steps
Answer: 1/8
- Multiply numerators and denominators.
- 1/2 × 1/4 = 1/8.
This is a question from this topic’s quiz. Preview answers are not saved.
Scratchpad
Working out
Draw with a finger, pen or mouse, or type your working below.
Your working stays on this page. It is not submitted or saved, and clears when you leave or reload.
Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Use efficient fraction and decimal methods, then check digitally when useful.
Read the official VCAA curriculum description (VC2M7N05)
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.
- VC2M7N05-C01Multiply numerators and denominators, cancelling common factors where useful. The product need not be larger than either input when fractions are below one.
- VC2M7N05-C02Division asks how many divisor-sized groups fit. Multiplication by the reciprocal gives the same quotient.
- VC2M7N05-C03Use related whole-number multiplication facts and then scale to match the decimal factors.
- VC2M7N05-C04Multiply dividend and divisor by the same power of ten if this creates a convenient whole-number divisor; the quotient is unchanged.
- VC2M7N05-C05Choosing efficient strategies and using digital tools to verify fraction/decimal calculations.
Learn with worked examples
Help with this topic
Skills in this topic
Traceable coverage
Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Multiply fractionsMultiply numerators and denominators, cancelling common factors where useful. The product need not be larger than either input when fractions are below one.
- D02Divide by a fractionDivision asks how many divisor-sized groups fit. Multiplication by the reciprocal gives the same quotient.
- D03Track decimal place valueUse related whole-number multiplication facts and then scale to match the decimal factors.
- D04Scale division consistentlyMultiply dividend and divisor by the same power of ten if this creates a convenient whole-number divisor; the quotient is unchanged.