Rates and Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another. It can be expressed in the form 'a to b' or as a fraction a/b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF). For example, the ratio 8 to 12 can be simplified to 2 to 3 by dividing both by 4.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units. For example, speed is a rate that compares distance to time, such as 60 miles per hour.

Front

What is the GCF of two numbers?

Back

The GCF (Greatest Common Factor) is the largest number that divides two or more numbers without leaving a remainder. For example, the GCF of 12 and 32 is 4.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor they have in common. Alternatively, use the prime factorization method.

Front

What is a proportion?

Back

Front

How do you solve a proportion?

Back

Front

What is the ratio of 15 red marbles to 10 blue marbles?

Back

The ratio of red marbles to blue marbles is 3 to 2, which can be simplified from 15 to 10.

Front

If Spiderman made 32 cups of jello last year, how many gallons will he make this year if he makes twice as much?

Back

Spiderman will make 4 gallons of jello this year.

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares two different units, while ratios can compare any two quantities.