Calculations with Ratios (HSC SSCE Mathematics Standard): Flashcards

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Calculations with Ratios
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Definition of a ratio

Compares amounts of same type in specific order

Four ways to express ratios

As ratio, fraction, decimal, percentage

Creating equivalent ratios

Multiply or divide both amounts by same number

Simplifying ratios with fractions

Multiply both sides by LCD

Simplifying ratios with decimals

Multiply by power of 10, then divide by HCF

Simplifying two-fraction ratios

Convert to common denominator, use numerators

Dividing quantity, step 1

Calculate total number of parts

Dividing quantity, step 2

Divide quantity by total parts for value of 1 part

Dividing quantity, step 3

Multiply each ratio amount by value of one part

Dividing quantity, step 4

Check by adding parts - should equal original

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