Rates & Ratios

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 does the word 'to' signify in a ratio?

Back

The word 'to' is used to express the relationship between two quantities in a ratio, indicating how many parts of one quantity there are for every part of another.

Front

How do you calculate the rate when given distance and time?

Back

Rate = Distance ÷ Time. For example, if a person travels 182.4 miles in 3 hours, the rate is 182.4 ÷ 3 = 60.8 miles per hour.

Front

What is the formula to find the price per unit?

Back

Price per unit = Total Price ÷ Number of Units. For example, if 6 gallons of gasoline cost $15.00, the price per gallon is $15.00 ÷ 6 = $2.50.

Front

How do you find the average rate of work done?

Back

Average rate of work = Total Work ÷ Total Time. For example, if Lynnette washes 95 cars in 5 days, she washes 95 ÷ 5 = 19 cars per day.

Front

If Jack jumps 40 times in 4 minutes, how do you find his jumps per minute?

Back

To find jumps per minute, divide the total jumps by the total time in minutes. So, 40 jumps ÷ 4 minutes = 10 jumps per minute.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, like miles per hour or price per item.

Front

How do you convert a ratio into a fraction?

Back

To convert a ratio into a fraction, write the first quantity as the numerator and the second quantity as the denominator. For example, a ratio of 3:4 can be written as 3/4.

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares two different units, such as speed (miles per hour) or price (dollars per item).

Front

How can you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both quantities by their greatest common divisor (GCD). For example, the ratio 8:12 can be simplified to 2:3.