Topic 61 Ratios 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 is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then isolate the variable.

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.

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 extended ratio of a triangle's angles if the ratio is 2:4:9?

Back

The angles are 24°, 48°, and 108°.

Front

How do you find the missing term in a proportion?

Back

Use cross-multiplication to find the missing term.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second is the denominator.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, such as miles per hour.

Front

How can you simplify a ratio?

Back

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