Ratios, Rates & Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two or more numbers, showing the relative sizes of each value.

Front

How can you represent a ratio?

Back

A ratio can be represented using a fraction, a colon (e.g., 5:3), or in words (e.g., '5 to 3').

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as miles per hour.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

In a proportion, what are cross-products?

Back

Cross-products are the products of the means and extremes in a proportion, and they are equal.

Front

If the ratio of dogs to cats is 5 to 3 and there are 25 dogs, how many cats are there?

Back

c = 15 (using the proportion 5/3 = 25/c).

Front

What is the ratio of boys to girls if there are 13 boys and 10 girls?

Back

The ratio of boys to girls is 13:10.

Front

What is the relationship between ratios and fractions?

Back

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

Front

What does it mean if two ratios are equivalent?

Back

If two ratios are equivalent, it means they represent the same relationship between quantities.