Understanding Ratios and Rates and GCF/LCM

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you convert feet to inches?

Back

To convert feet to inches, multiply the number of feet by 12 (since 1 foot = 12 inches).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or price per item.

Front

What is the greatest common factor (GCF)?

Back

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

Front

What is the least common multiple (LCM)?

Back

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

Front

Convert 5 feet to inches using ratio reasoning.

Back

60 inches (5 feet x 12 inches/foot = 60 inches).

Front

Convert 3 gallons to quarts using ratio reasoning.

Back

12 quarts (3 gallons x 4 quarts/gallon = 12 quarts).

Front

How do you find the GCF of 14 and 21?

Back

The GCF of 14 and 21 is 7, as it is the largest number that divides both 14 and 21.

Front

How do you find the LCM of 6 and 15?

Back

The LCM of 6 and 15 is 30, as it is the smallest number that both 6 and 15 can divide into without a remainder.

Front

What is the ratio of girls to boys in Mrs. Andrew's class?

Back

The ratio of girls to boys is 14:21, which simplifies to 2:3.