*PRACTICE* Rates Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, 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 is a proportion?

Back

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

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if you travel 300 miles in 5 hours, the unit rate is 300 miles ÷ 5 hours = 60 miles per hour.

Front

What is the formula for finding the total number of items in a ratio?

Back

To find the total number of items in a ratio, add the parts of the ratio together. For example, in the ratio 2:3:5, the total is 2 + 3 + 5 = 10.

Front

How do you compare two ratios?

Back

To compare two ratios, convert them to fractions and find a common denominator or cross-multiply to see which is larger.

Front

What is a unit price?

Back

A unit price is the cost per single unit of measure, often used to compare prices of different quantities.

Front

How do you calculate the total cost from a unit price?

Back

To calculate the total cost, multiply the unit price by the number of units purchased.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.