Ratio 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 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 rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price per item.

Front

How do you find a unit rate?

Back

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

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 3:4 can be written as the fraction 3/4.

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 proportion?

Back

A proportion is an equation that states that two ratios are equal, such as a/b = c/d.

Front

How can you solve a proportion?

Back

To solve a proportion, cross-multiply and then solve for the unknown variable.

Front

What is the formula for finding the total cost when given a unit price?

Back

Total Cost = Unit Price × Quantity.

Front

How do you calculate the cost per unit?

Back

Cost per unit = Total Cost ÷ Number of Units.