Ration and Proportions

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 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 and then solve for the unknown variable.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units.

Front

If two numbers are in the ratio 3:4 and their sum is 70, what are the numbers?

Back

The numbers are 30 and 40.

Front

What is the extended ratio of angles in a triangle?

Back

The extended ratio of angles in a triangle is a way to express the relationship between the angles in a ratio format, such as 5:7:3.

Front

How do you find the larger number in a ratio when given the sum?

Back

Set up an equation based on the ratio and the sum, then solve for the larger number.

Front

What is the formula for finding the missing value in a proportion?

Back

If a/b = c/d, then ad = bc.