Ratios and 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 as 'a:b'.

Front

What does it mean to write a ratio as a fraction?

Back

When writing a ratio as a fraction, the top number (numerator) represents one quantity and the bottom number (denominator) represents a different quantity.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if you earn $40 for 4 hours of work, the unit rate is $10 per hour.

Front

How do you find the unit rate from a total amount?

Back

To find the unit rate, divide the total amount by the number of units. For example, $40 divided by 4 hours equals $10 per hour.

Front

What is the ratio of 4 apples to 5 oranges?

Back

The ratio of 4 apples to 5 oranges is written as 4:5.

Front

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

Back

The speed is 60 miles per hour, calculated by dividing 300 miles by 5 hours.

Front

What is the difference between a ratio and a fraction?

Back

A ratio compares two different quantities, while a fraction represents a part of a whole.

Front

How can you express a ratio in different forms?

Back

A ratio can be expressed in fraction form, as a decimal, or in words (e.g., '4 to 5').

Front

What is the ratio of 9 cats to 3 dogs?

Back

The ratio of 9 cats to 3 dogs is 3:1 when simplified.

Front

If you earn $50 for 2 hours of work, what is your unit rate?

Back

Your unit rate is $25 per hour.