Ratios & Rates Review

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 in the form 'a : b'.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, to simplify 35 : 14, divide both by 7 to get 5 : 2.

Front

What is a rate?

Back

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

Front

How do you find the better buy between two products?

Back

To find the better buy, calculate the unit price for each product (price per item or price per weight) and compare them.

Front

What is the ratio of cows to total animals if a farm has 14 cows and 10 horses?

Back

The ratio of cows to total animals is 14 : (14 + 10) = 14 : 24, which simplifies to 7 : 12.

Front

If 12 ounces of shampoo lasts 16 weeks, how long will 18 ounces last?

Back

18 ounces will last 24 weeks, as it is 1.5 times the amount of shampoo.

Front

What is the unit price of an 8 pack of juice boxes that costs $4.79?

Back

The unit price is $4.79 / 8 = $0.59875 per juice box.

Front

What is the unit price of a 12 pack of juice boxes that costs $6.59?

Back

The unit price is $6.59 / 12 = $0.5491667 per juice box.

Front

How do you express a ratio in lowest terms?

Back

To express a ratio in lowest terms, divide both parts of the ratio by their GCD.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator.