Ratios, Rates, 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 to b' or a:b.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you simplify a ratio?

Back

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a rate?

Back

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, often written as a/b = c/d.

Tags

CCSS.7.RP.A.2A

Front

If the ratio of boys to girls is 3 to 2 and there are 12 boys, how many girls are there?

Back

8 girls.

Front

What is the student to teacher ratio if there are 120 students and 20 teachers?

Back

6 students for 1 teacher.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If hamburger meat sells for $6 for every 3 pounds, how much will 10 pounds cost?

Back

$20.

Tags

CCSS.6.RP.A.3B

Front

If the ratio of apples to oranges is 4 to 5 and there are 20 apples, how many oranges are there?

Back

25 oranges.

Front

How many pizzas are needed for 36 people if one pizza feeds 3 people?

Back

12 pizzas.

Tags

CCSS.3.OA.A.3

Front

What does it mean if two ratios are in proportion?

Back

It means that the two ratios represent the same relationship between quantities.

Tags

CCSS.6.RP.A.3A