Ratios & Unit Rates

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 in the form 'a to b' or as a fraction a/b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, 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 as 'x per 1 unit of y'.

Front

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

Back

To calculate a unit rate, divide the total cost by the quantity to find the cost per unit.

Front

What is the formula for finding the unit rate of customers per hour?

Back

To find the unit rate of customers per hour, divide the total number of customers by the total number of hours.

Front

How do you express a ratio of part to whole?

Back

To express a ratio of part to whole, divide the part by the total quantity and simplify if necessary, often expressed as 'part:whole'.

Front

What is the significance of unit rates in real-life applications?

Back

Unit rates help compare prices, speeds, and other quantities, making it easier to make informed decisions.

Front

How can you convert a ratio into a fraction?

Back

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

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Front

How do you find the total number of items from a ratio?

Back

To find the total number of items from a ratio, add the parts of the ratio together and multiply by a common factor.