Ratio and Proportion
Learn how a ratio compares like quantities by division, why units must first agree, how a:b is read, and why the order of its terms matters.
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7 bilingual articles
Ratio Meaning, Notation and Essential Properties
Learn how a ratio compares like quantities by division, why units must first agree, how a:b is read, and why the order of its terms matters.
Open article →Simplifying Ratios with Common Units and Conversions
Reduce ratios by a common divisor, convert unlike units before comparing, and preserve the original order while reaching the simplest form.
Open article →Equivalent Ratios and Scale-Preserving Change
Create equivalent ratios by multiplying or dividing both terms by the same non-zero number and recognise equal comparisons shown at different scales.
Open article →Comparing Ratios and Dividing a Quantity
Compare two ratios through equivalent fractions with a common denominator, then split a total into proportional shares using the sum of ratio terms.
Open article →Proportion: Equality, Notation and Scaled Figures
Recognise when two ratios are equal, write a:b::c:d or a/b=c/d, and connect proportional pairs to repeated rates and scaled figures.
Open article →Proportionality Law, Means, Extremes and Cross Products
Identify means and extremes in a:b::c:d, apply ad=bc to test equal ratios, and detect when dimensions do not preserve proportion.
Open article →Unitary Method: From One Unit to the Required Value
Translate a problem into quantities, divide to find one-unit value, then multiply to obtain the required number of units with consistent units throughout.
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