6.06: Ratios and Proportions BW

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a to b' or 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 solve a proportion using cross products?

Back

Front

What is the simplest form of the ratio 42 to 6?

Back

The simplest form of the ratio 42 to 6 is 7:1.

Front

If the ratio of two angles is 4:1, what is the measure of the smaller angle if they are supplementary?

Back

The smaller angle measures 36 degrees.

Front

What is the total number of instruments if there are 40 trumpets, 39 clarinets, 24 violins, 51 flutes, and 16 trombones?

Back

The total number of instruments is 170.

Front

What is the ratio of violins to total instruments in simplest form if there are 24 violins?

Back

The ratio of violins to total instruments is 12:85.

Front

How do you find the measure of angles in a triangle given their ratio?

Back

To find the measures, add the parts of the ratio, divide the total degrees (180) by that sum, then multiply by each part.

Front

What is the measure of the smallest angle in a triangle with angles in the ratio 4:7:9?

Back

The smallest angle measures 36 degrees.