Ratios and Rates

Front

What is a ratio?

Back

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

Front

How can a ratio be expressed?

Back

A ratio can be expressed in three ways: as a fraction, with a colon (e.g., 3:1), or in words (e.g., '3 to 1').

Front

What is the simplest form of a ratio?

Back

The simplest form of a ratio is when the two quantities are expressed in their lowest terms, meaning they have no common factors other than 1.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, place 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 different units, such as miles per hour or price per item.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units to express the amount per one unit.

Front

What is the relationship between ratios and proportions?

Back

A proportion states that two ratios are equal, often written as a/b = c/d.

Front

How do you solve for an unknown in a ratio?

Back

To solve for an unknown in a ratio, set up a proportion and cross-multiply to find the missing value.

Front

What is the formula for calculating the number of students per class?

Back

The formula is: Total number of students ÷ Number of classes = Students per class.

Front

How do you calculate words per minute?

Back

To calculate words per minute, divide the total number of words typed by the total number of minutes taken.