Ratio and Proportion (VCE SSCE General Mathematics): Flashcards

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Ratio and Proportion
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What do ratios compare?

Quantities numerically, showing relative sizes

Two ways to write a ratio

Colon notation (a:ba:b) or as fraction (ab\frac{a}{b})

Is 3:53:5 same as 5:35:3?

No, order matters in ratios

When is a ratio in simplest form?

When HCF of all terms is 1 (smallest whole numbers)

How to simplify whole number ratios

Divide all terms by their common factor

How to simplify decimal ratios

Multiply all terms by power of 10, then simplify

How to simplify fractional ratios

Multiply by LCM of denominators to eliminate fractions

Rule before simplifying ratios with different units

Both quantities must be in same units

What are equivalent ratios?

Ratios showing same relationship with different numbers

Finding missing values in equivalent ratios

Write as fractions, set equal, solve algebraically

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