Ratios, Rates and Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing the relative size of one quantity to another.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if you have 60 miles in 2 hours, the unit rate is 60 miles / 2 hours = 30 miles per hour.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as miles per hour or cost per item.

Front

What is the unit rate of 408 words in 4 minutes?

Back

The unit rate is 102 words per minute, calculated by dividing 408 words by 4 minutes.

Front

How do you determine the better buy between two products?

Back

To determine the better buy, calculate the unit price for each product and compare them. The product with the lower unit price is the better buy.

Front

If a 12 pack of juice boxes costs $6.59, what is the cost per juice box?

Back

The cost per juice box is $6.59 / 12 = $0.5492, or approximately $0.55.

Front

What is the formula for calculating the price per item?

Back

The formula for calculating the price per item is: Price per item = Total price / Number of items.

Front

What does it mean if a speed is given as 22 miles per hour?

Back

It means that for every hour, the object travels 22 miles, which is a unit rate.

Front

How can you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both quantities by their greatest common divisor.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.