Ratios, Rates and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a:b' or 'a/b'.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (distance per time).

Front

How do you calculate speed?

Back

Speed is calculated by dividing the distance traveled by the time taken: Speed = Distance / Time.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal.

Front

What is the ratio of part to whole?

Back

The ratio of part to whole is calculated by dividing the part by the total amount.

Front

If there are 2 apples for every 3 oranges, what is the ratio of apples to oranges?

Back

The ratio of apples to oranges is 2:3.

Front

Convert 17 mm, 1.2 cm, and 2 cm into a ratio in the form a:b:c.

Back

The ratio is 17:12:20.

Front

What is the first step in solving a ratio problem?

Back

Identify the quantities being compared and express them in the same units if necessary.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor.