Rates, Ratios, and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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 expressed as a fraction that simplifies to the same value.

Front

What is a proportion?

Back

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

Front

How can you determine if two ratios form a proportion?

Back

Cross-multiply the ratios. If the products are equal, the ratios form a proportion.

Front

What is the simplest form of the ratio 32:4?

Back

The simplest form of the ratio 32:4 is 8:1.

Front

How do you find the cost per unit?

Back

To find the cost per unit, divide the total cost by the number of units.

Front

If a 20-lb bag of dog food costs $23.44, what is the cost per pound?

Back

The cost per pound is approximately $1.17, calculated as $23.44 ÷ 20.

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.

Front

What is the GCD of 120 and 5?

Back

The GCD of 120 and 5 is 5.