4-1 and 4-2 Ratios and Rates

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

How do you write a ratio in simplest form?

Back

To write a ratio in simplest form, divide both terms of the ratio by their greatest common factor (GCF).

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the unit rate from a total distance and time?

Back

To find the unit rate, divide the total distance by the total time. For example, if you bike 36 miles in 6 hours, the unit rate is 36 miles ÷ 6 hours = 6 mph.

Front

Write the ratio of 5 red circles to 6 blue circles.

Back

5 to 6, 5:6, or 5/6.

Front

What does it mean to express a ratio as a fraction?

Back

Expressing a ratio as a fraction means writing it in the form of one quantity over another, such as 5 red circles to 6 blue circles as 5/6.

Front

If Rose spent $2.00 for 20 pieces of gum, what is the price per piece?

Back

$0.10 per piece.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you simplify the ratio 51 to 17?

Back

Divide both numbers by their GCF, which is 17. So, 51 ÷ 17 = 3 and 17 ÷ 17 = 1, giving the simplified ratio of 3 to 1.

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.