Rates, Ratios, Percentages

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often expressed as a fraction, such as miles per hour or cost per item.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if 3 pizzas cost $4.50, the unit rate is $4.50 ÷ 3 = $1.50 per pizza.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing the relative size of one quantity to another, often expressed in the form a:b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, the ratio 4:8 simplifies to 1:2.

Front

What is the difference between a rate and a ratio?

Back

A rate compares two different types of quantities, while a ratio compares two quantities of the same type.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. For example, 1/4 = (1 ÷ 4) × 100 = 25%.

Front

What is the formula for calculating percentages?

Back

The formula for calculating a percentage is: (part/whole) × 100 = percentage.

Front

How do you find the total number of items when given a ratio?

Back

To find the total number of items from a ratio, add the parts of the ratio together and then use that sum to determine the total based on the known quantity.

Front

What is the unit rate of speed?

Back

The unit rate of speed is the distance traveled per unit of time, often expressed in miles per hour (mph) or kilometers per hour (km/h).

Front

How do you solve for an unknown in a ratio?

Back

To solve for an unknown in a ratio, set up a proportion and cross-multiply to find the unknown value.