Ratios, GCF, & LCM

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, 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 factor (GCF).

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

What is the LCM (Least Common Multiple)?

Back

The LCM is the smallest multiple that is exactly divisible by two or more numbers.

Front

How do you find the GCF of two numbers?

Back

List the factors of each number and identify the largest factor they have in common.

Front

How do you find the LCM of two numbers?

Back

List the multiples of each number and identify the smallest multiple they have in common.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different.

Front

If the ratio of boys to girls is 5:7, what is the ratio of girls to boys?

Back

The ratio of girls to boys is 7:5.

Front

What is the ratio of red circles to blue stars if there are 3 red circles and 4 blue stars?

Back

The ratio of red circles to blue stars is 3:4.

Front

What is the relationship between GCF and LCM?

Back

The product of the GCF and LCM of two numbers is equal to the product of the numbers themselves.