Ratios, Rates, and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you express a ratio as a fraction?

Back

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

Front

What is a rate?

Back

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

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the first quantity by the second quantity to find the amount per one unit of the second quantity.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and both represent a part-to-whole relationship.

Front

How can you compare two rates?

Back

To compare two rates, convert them to the same unit or find the unit rate for each.

Front

What is an example of a real-life application of ratios?

Back

Cooking recipes often use ratios to indicate the proportion of ingredients needed.