Ratios and Proportions

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:b'.

Front

How do you simplify a ratio?

Back

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

Front

What is a proportion?

Back

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

Front

How do you find a unit rate?

Back

To find a unit rate, divide the quantity by the number of units. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

If the ratio of boys to girls in a class is 6:5 and there are 18 boys, how many girls are there?

Back

15 girls.

Front

What is the unit price?

Back

The unit price is the cost per single unit of measure, which helps compare prices of different quantities.

Front

How do you calculate the total cost from a unit price?

Back

Multiply the unit price by the number of units purchased.

Front

If a truck gets 25 miles per gallon, how far can it go on 7 gallons?

Back

175 miles.

Front

If hamburger meat costs $6 for 3 pounds, how much does 10 pounds cost?

Back

$20.

Front

How do you compare unit prices to find the better deal?

Back

Calculate the unit price for each option and compare them; the lower unit price is the better deal.