Ratios and Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you express a ratio in fraction form?

Back

A ratio can be expressed in fraction form by writing the first quantity as the numerator and the second quantity as the denominator, e.g., a:b = a/b.

Front

What is a unit rate?

Back

A unit rate is a comparison of a quantity to one unit of another quantity, often expressed as 'x per 1 unit of y'.

Front

How do you find the unit rate from a total amount?

Back

To find the unit rate, divide the total amount by the number of units, e.g., if you earn $96 for 8 lawns, the unit rate is $96 ÷ 8 = $12 per lawn.

Front

What does the term 'to' signify in a ratio?

Back

The term 'to' signifies the relationship between the two quantities in a ratio, indicating how many of one quantity there are for each of the other.

Front

If a candle has 3 flames for every 2 arms, what is the ratio of flames to arms?

Back

The ratio of flames to arms is 3:2.

Front

How do you calculate the unit rate of speed?

Back

To calculate the unit rate of speed, divide the total distance traveled by the total time taken, e.g., 1230 miles ÷ 5 hours = 246 mph.

Front

What is the ratio of 2 to 3 expressed as a decimal?

Back

The ratio of 2 to 3 expressed as a decimal is approximately 0.667.

Front

What is the importance of understanding ratios and unit rates?

Back

Understanding ratios and unit rates helps in making comparisons, solving real-world problems, and analyzing relationships between quantities.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.