Master Ratios
Simplify a:b and share a quantity in a given ratio. Practice with instant feedback.
What is a Ratio?
Comparing quantities by division
A ratio compares two quantities in the form a:b. Simplify by dividing both parts by their HCF. To share a total T in the ratio a:b, split T into a + b equal parts; the first share is (a / (a + b)) × T.
Ratios Rules
Key steps
Follow the method
A ratio compares two quantities in the form a:b. Simplify by dividing both parts by their HCF. To share a total T in the ratio a:b, split T into a + b equal parts; the first share is (a / (a + b)) × T.
Check your answer
Compare with the multiple-choice options and use inverse operations to verify.
Ratios Examples
Worked examples
Basic Examples
Why Ratios Matters
A ratio compares two quantities in the form a:b. Simplify by dividing both parts by their HCF. To share a total T in the ratio a:b, split T into a + b equal parts; the first share is (a / (a + b)) × T.
Applications
Used in school exams, homework, and real-world number problems.
Start Practicing Ratios
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