Ratios and Unit Rate

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.

Front

What is an equivalent ratio?

Back

Equivalent ratios are two or more ratios that represent the same relationship between numbers, such as 1:2 and 2:4.

Front

How do you find a missing value in a ratio table?

Back

To find a missing value in a ratio table, use equivalent ratios to set up a proportion and solve for the unknown.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, such as miles per hour or price per item.

Front

How do you calculate the unit rate from a total amount?

Back

To calculate the unit rate, divide the total amount by the number of units. For example, if you earn $90 for 5 hours of work, the unit rate is $90 ÷ 5 = $18 per hour.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

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How can you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF). For example, the ratio 8:12 can be simplified to 2:3.

Front

What is the purpose of a ratio table?

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A ratio table is used to organize equivalent ratios and can help in finding missing values and understanding the relationship between quantities.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they can be simplified to the same fraction or if their cross products are equal.