Ratios and 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

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or dollars per item.

Front

How do you calculate the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you pay $15 for 3 hamburgers, the unit rate is $15 ÷ 3 = $5 per hamburger.

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.

Front

Evan made 2 out of every 3 free throws. What is his success rate?

Back

Evan's success rate is 2/3 or approximately 66.67%.

Front

If 15 hamburgers cost $75, what is the cost of 1 hamburger?

Back

The cost of 1 hamburger is $75 ÷ 15 = $5.

Front

Gabe drives 426 miles in 6 hours. What is his speed in miles per hour?

Back

Gabe's speed is 426 miles ÷ 6 hours = 71 miles per hour.

Front

If Mrs. Campbell knits 3 inches of a scarf per day, how many days will it take her to knit 24 inches?

Back

It will take Mrs. Campbell 24 inches ÷ 3 inches/day = 8 days.

Front

What is the formula for calculating a ratio?

Back

The formula for calculating a ratio is: Ratio = Quantity A / Quantity B.

Front

What does it mean if two quantities are in a 1:1 ratio?

Back

A 1:1 ratio means that for every unit of one quantity, there is one unit of another quantity.