5.1 Opener Ratios and Proportions Mini Lesson

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

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 violins to total instruments if there are 24 violins and 146 other instruments?

Back

The ratio is 24:170 or simplified to 12:85.

Front

What is the simplest form of the ratio of boys to girls if there are 12 boys and 16 girls?

Back

The simplest form is 3:4.

Front

How do you solve for a variable in a proportion?

Back

Cross-multiply the terms and then isolate the variable.

Front

Back

b = 38.

Front

Write the ratio of 8 apples to 24 oranges in simplest form.

Back

The simplest form is 1:3.

Front

What is a proportion?

Back

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

Front

Back

x = 23.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities.