Ratios, Rates & 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

What is a rate?

Back

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

Front

What is a unit rate?

Back

A unit rate is a ratio that has a denominator of 1, representing how much of one quantity corresponds to one unit of another quantity.

Front

How do you find a unit rate from a total?

Back

To find a unit rate, divide the total quantity by the number of units. For example, if there are 120 customers in 6 hours, the unit rate is 120 ÷ 6 = 20 customers per hour.

Front

Are the ratios 15:5 and 25:10 equivalent?

Back

No, they are not equivalent. 15:5 simplifies to 3:1, while 25:10 simplifies to 5:2.

Front

What is the first step to solve a proportion?

Back

The first step is to cross-multiply the two ratios to check for equivalence.

Front

If 6 gallons of gasoline cost $15, how much does 1 gallon cost?

Back

1 gallon costs $15 ÷ 6 = $2.50.

Front

What is the formula for finding a proportion?

Back

The formula for a proportion is a/b = c/d, where a, b, c, and d are numbers.

Front

How do you simplify the fraction 18/24?

Back

Divide both the numerator and the denominator by their greatest common divisor, which is 6. So, 18/24 simplifies to 3/4.

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.