Ratio and Proportions

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you simplify a ratio?

Back

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

Front

What is the ratio of wins to losses if a team has 25 wins and 45 losses?

Back

5:9

Front

If the ratio of red fish to blue fish is 3:5 and there are 20 blue fish, how many red fish are there?

Back

12 red fish.

Front

What is the formula to find the total number of items in a ratio?

Back

If the ratio is a:b, the total number of items is a + b.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio a:b to a fraction, write it as a/(a+b) or b/(a+b) depending on what you want to express.

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

Back

102 words per minute.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.