Rates, Ratios, and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, 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 the simplest form of the ratio 27:12?

Back

The simplest form of the ratio 27:12 is 9:4.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same form.

Front

Are the ratios 72:8 and 18:2 equivalent?

Back

Yes, both simplify to 9:1.

Front

What is a proportion?

Back

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

Front

How do you determine if two ratios are equivalent?

Back

Cross-multiply the ratios; if the products are equal, the ratios are equivalent.

Front

What is the cost per pound of an 8-lb bag of dog food that costs $9.88?

Back

The cost per pound is approximately $1.24.

Front

What is the cost per pound of a 20-lb bag of dog food that costs $23.44?

Back

The cost per pound is approximately $1.17.

Front

What is the cost per pound of a 40-lb bag of dog food that costs $49.00?

Back

The cost per pound is approximately $1.23.