---
title: "Modelling with multiplication and fractions"
description: "Model real-world problems involving multiplication, area, fractions, and unit conversion by choosing appropriate representations and interpreting mathematical results in context"
canonical: https://lightmysky.com/learn/mathematics/modelling-with-multiplication-and-fractions-mt_K3R0yaHVcx
source: https://lightmysky.com/learn/mathematics/modelling-with-multiplication-and-fractions-mt_K3R0yaHVcx.md
retrieved: 2026-10-19
---

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# Modelling with multiplication and fractions

Model real-world problems involving multiplication, area, fractions, and unit conversion by choosing appropriate representations and interpreting mathematical results in context

Subject: Mathematics · Area: Mathematical Thinking · Ages 8 to 9
Page: https://lightmysky.com/learn/mathematics/modelling-with-multiplication-and-fractions-mt_K3R0yaHVcx

## Ready when they can

- Model a tiling/area problem with an array and write the corresponding multiplication
- Represent a recipe-scaling problem as a fraction calculation and interpret the answer in grams
- Use a bar model to set up a unit conversion problem (metres to centimetres)

## Lesson: Choosing the right maths tool for real problems

Some real-life problems need more than one type of maths. You might multiply to find an area, use a fraction to scale a recipe, or convert units like metres to centimetres. The trick is picking the right tool, then checking that your answer makes sense for the real situation.

*(drawing: A floor tiled with 4 rows of 5 tiles has 4 × 5 = 20 tiles in total.)*

**Example.** A cookie recipe uses 200 grams of sugar. Mia wants to make half the recipe. She works out 1/2 × 200 = 100. She needs 100 grams of sugar.

**Example.** A garden path is 4 metres long. Sam wants to know the length in centimetres, so he draws a bar split into 4 equal metre-sized parts. Each part is 100 centimetres, so he works out 4 × 100 = 400. The path is 400 centimetres long.

**Tip.** When you get a final number, check what it means for the real problem: is it tiles, grams, or centimetres? Matching the number to its units and story tells you the answer makes sense.

**Recap.** Pick arrays for area, fractions for scaling, and bar models for units, then check your answer fits the real problem.

## Practice

14 questions on this page, each with its working shown.

## Needs first

- [Fractions of amounts (harder)](https://lightmysky.com/learn/mathematics/fractions-of-amounts-harder-mt_3y7xKP9MjU)
- [Converting measurement units](https://lightmysky.com/learn/mathematics/converting-measurement-units-mt_d8al9JcajP)
- [Rectangle area by multiplying](https://lightmysky.com/learn/mathematics/rectangle-area-by-multiplying-mt_GzcJEVkNRn)
- [Solving money measurement and time problems](https://lightmysky.com/learn/mathematics/solving-money-measurement-and-time-problems-mt_iQYPw8bMfN)

## Opens up

- [Real-World Maths Modelling](https://lightmysky.com/learn/mathematics/real-world-maths-modelling-mt_8xVHooT4aI)
- [Bar Models for Ratios](https://lightmysky.com/learn/mathematics/bar-models-for-ratios-mt_ePXg_XyCKU)