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Ratio
Order / simplify: Red:blue differs from blue:red; divide all parts by HCF
Units: 50 cm:2 m = 1:4; first convert units
Fractions
Part vs total: 2:3 → first is 2/5 total but 2/3 of second
Mixture: Scale concentrate and water together; match mass/volume
Share
Total known: £84 in 2:5 → 7 parts → £24 and £60
One share / gap: 3:7 with B=28 → A=12; difference uses gap in parts
Relationships
Proportion: Equal ratios have equal quotients; x:y=2:5 → y=5x/2
Join / change: Match common B; scaling preserves ratio, adding may not
Connections
Ratio → Fractions: Total parts convert ratios to fractions
Ratio → Share: Scaled ratios determine missing shares
