Ratios, Rate, and Unit Rate

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 to b' or a:b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms 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'.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

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

Back

To find the unit rate, divide the total cost by the number of items.

Front

What is the unit rate if 5 apples cost $10?

Back

The unit rate is $2 per apple.

Front

If the ratio of boys to girls in a class is 3:4, how many boys are there if there are 28 girls?

Back

There are 21 boys.

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities.

Front

Is the ratio 4:5 equivalent to 8:10?

Back

Yes, the ratio 4:5 is equivalent to 8:10.

Front

If a car travels 150 miles in 3 hours, what is the rate of travel?

Back

The rate of travel is 50 miles per hour.