Ratios, Rates and Proportions

Front

What is a ratio?

Back

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

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to 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 different units, such as speed (miles per hour) or price per item.

Front

How do you calculate a unit rate?

Back

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

Front

What is a proportion?

Back

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

Front

How can you determine if two ratios form a proportion?

Back

Two ratios form a proportion if the cross products are equal.

Front

What is the formula for calculating speed?

Back

Speed = Distance / Time.

Front

How do you find the average speed of a trip?

Back

Average speed is calculated by dividing the total distance traveled by the total time taken.

Front

What is the significance of the term 'per' in rates?

Back

The term 'per' indicates a division, showing how many units of one quantity correspond to one unit of another quantity.

Front

How do you solve for an unknown in a proportion?

Back

To solve for an unknown in a proportion, cross-multiply and then divide to isolate the variable.