Ratios & Ratio Tables

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

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How do you solve for a missing value in a ratio?

Back

To solve for a missing value in a ratio, set up a proportion that equates the two ratios and then cross-multiply to find the unknown value.

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What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

Front

What is a ratio table?

Back

A ratio table is a tool used to organize pairs of numbers that form equivalent ratios, helping to visualize the relationship between the quantities.

Front

How can you determine if a ratio is simplified?

Back

A ratio is simplified if the greatest common factor (GCF) of the two numbers is 1, meaning they cannot be reduced further.

Front

What is the relationship between ratios and proportions?

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A proportion is an equation that states that two ratios are equal, allowing for the comparison of different ratios.

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How do you convert a ratio to a fraction?

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To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator.

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What is the significance of the order of terms in a ratio?

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The order of terms in a ratio is significant because it indicates which quantity is being compared to which, affecting the interpretation of the ratio.

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How can you use a ratio to make predictions?

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Ratios can be used to make predictions by applying the same relationship to different quantities, allowing for estimation of unknown values.

Front

What is the formula for solving proportions?

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The formula for solving proportions is a/b = c/d, where you can cross-multiply to find the unknown value.