Ratios/rates/Measure

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

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 a store has 120 customers in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

Front

What is the formula to find the cost of one item from a total cost?

Back

To find the cost of one item, divide the total cost by the number of items. For example, if 20 adult tickets cost $250, the cost of one adult ticket is $250 ÷ 20 = $12.50.

Front

What is the relationship between calories burned and time spent exercising?

Back

The relationship can be expressed as a rate. For example, if Hilbert burns 120 calories in 30 minutes, he burns 4 calories per minute.

Front

How do you convert liters to milliliters?

Back

To convert liters to milliliters, multiply the number of liters by 1000. For example, 10 L = 10 × 1000 = 10000 ml.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if 4 birds and 6 snakes are present, the ratio of birds to total animals can be expressed as 4/10.

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its simplest form by dividing both terms by their greatest common divisor.

Front

What is the difference between a ratio and a rate?

Back

A ratio compares two quantities, while a rate compares two quantities with different units, such as speed (miles per hour).

Front

How do you express a ratio in fraction form?

Back

A ratio can be expressed in fraction form by placing the first quantity over the second quantity. For example, the ratio of 4 birds to 6 snakes can be written as 4/6.

Front

What is the unit rate of 240 miles in 4 hours?

Back

The unit rate is 240 miles ÷ 4 hours = 60 miles per hour.