Ratios and Rates

Front

What is a ratio?

Back

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

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed in terms of 'per'.

Front

How do you calculate the unit rate from a total cost and quantity?

Back

To calculate the unit rate, divide the total cost by the quantity. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

What is the formula to find the number of students per class?

Back

To find the number of students per class, divide the total number of students by the number of classes.

Front

What are the three ways to write a ratio?

Back

A ratio can be written in three ways: as a fraction (e.g., 6/1), with a colon (e.g., 6:1), or in words (e.g., 6 to 1).

Front

What is the significance of the greatest common divisor (GCD) in ratios?

Back

The GCD is used to simplify ratios to their simplest form, making them easier to understand and compare.

Front

How can you convert ounces to cups when working with ratios?

Back

To convert ounces to cups, use the conversion factor: 1 cup = 8 ounces. Divide the number of ounces by 8 to get the equivalent in cups.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal. Proportions can be solved using cross-multiplication.

Front

How do you solve for a missing number in a ratio table?

Back

To solve for a missing number in a ratio table, set up a proportion based on the known ratios and solve for the unknown value.