Rates and ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another. It can be expressed in the form 'a to b' or as a fraction a/b.

Front

How do you calculate a unit rate?

Back

Front

What is the unit rate of 120 customers in 8 hours?

Back

Front

If 4 bars of soap cost $5, how much do 8 bars cost?

Back

8 bars cost $10, as the cost doubles when the quantity doubles.

Front

What is the ratio of 35 students to 7 basketballs?

Back

The ratio of students to basketballs is 5 to 1.

Front

What does it mean if a ratio is expressed as 1 to 5?

Back

It means for every 1 unit of the first quantity, there are 5 units of the second quantity.

Front

How do you simplify the ratio 10:20?

Back

To simplify the ratio 10:20, divide both sides by their greatest common divisor, which is 10. The simplified ratio is 1:2.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different kinds of quantities, often expressed per unit of time, such as speed (miles per hour) or cost (dollars per item).

Front

If a car travels 300 miles in 5 hours, what is its speed in miles per hour?

Back

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.