Ratio and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a:b' or 'a/b'.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

Front

How do you determine if two ratios are equivalent?

Back

Cross-multiply the ratios. If the products are equal, the ratios are equivalent.

Front

What is a proportion?

Back

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

Front

How can you solve a proportion?

Back

You can solve a proportion by cross-multiplying and then isolating the variable.

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 ratio of circles to squares if there are 2 circles for every 1 square?

Back

The ratio is 2:1.

Front

Which of the following is NOT equivalent to 3:5? 15:25, 9:15, 21:28, 30:50

Back

21:28 is NOT equivalent to 3:5.

Front

If a:b = 3:4 and b:c = 2:3, what is a:c?

Back

a:c = 1:2.

Front

What is the first step in solving a proportion?

Back

Identify the two ratios that are being compared.