Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities expressed as a fraction, indicating 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 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 the terms and then isolate the variable.

Front

What is the extended ratio?

Back

An extended ratio compares three or more quantities, expressed in the form a:b:c.

Front

If the ratio of two numbers is 3:4, what is the value of the numbers if their sum is 70?

Back

The numbers are 30 and 40.

Front

What is the ratio of 5 apples to 3 oranges?

Back

The ratio is 5:3.

Front

If a triangle has angles in the ratio 2:3:4, what are the measures of the angles?

Back

The angles are 40°, 60°, and 80°.

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

How do you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the first number by the sum of both numbers and multiply by 100.