This deep dive covers Method: Simplifying Step by Step within Ratio Problems for GCSE Mathematics. Revise Ratio Problems in Ratio & Proportion for GCSE Mathematics with 14 exam-style questions and 3 flashcards. This topic shows up very often in GCSE exams, so students should be able to explain it clearly, not just recognise the term. It is section 3 of 8 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Method: Simplifying Step by Step
1
Check units are the same (convert if needed)
2
Find a common factor (start with small numbers: 2, 3, 5...)
3
Divide ALL parts by that factor
4
Repeat until fully simplified
Practice questions for Ratio Problems
A recipe uses flour and sugar in the ratio 5:2. What fraction of the mixture is flour?
The ratio of apples to oranges in a basket is 2:3. Sarah says "2/3 of the fruits are apples." Explain why Sarah is wrong.
Quick recall flashcards
Unit Rule
ALWAYS convert to the SAME units before simplifying (e.g., all in pence, all in minutes)
Simplifying Ratios
Divide ALL parts by their Highest Common Factor (HCF). Keep going until you can't simplify further.