Understanding Proportions and Ratios

Carlea McAvoy explains ratios and proportions, starting with basic concepts and unit conversions. She demonstrates using calculators to simplify fractions and solve proportion equations. Practical examples include calculating cheese for pizza sizes and determining the number of red cars sold. The video emphasizes cross-multiplication and dividing by coefficients to solve proportion problems.

What is the first step in comparing two different coin values?

• Multiply them

• Subtract the smaller from the larger

• Add them together

• Convert them to the same unit

If you have 3 dimes and 4 quarters, what is the ratio when converted to pennies?

• 6 to 20

• 30 to 100

• 10 to 3

• 3 to 4

What is the benefit of using a calculator's fraction button?

• It provides a decimal result

• It automatically reduces fractions

• It multiplies fractions

• It adds fractions

What is a proportion?

• A sum of two ratios

• Two equal ratios

• A single ratio

• A difference between two ratios

In a proportion, what is the first step to solve for an unknown?

• Add the ratios

• Subtract the ratios

• Cross-multiply

• Divide the ratios

How much cheese is needed for a 14-inch pizza if a 12-inch pizza uses 8 ounces?

• 10 ounces

• 9.3 ounces

• 8 ounces

• 12 ounces

If 1 out of 5 cars sold are red, how many red cars are there if 6000 cars are sold?

• 1000

• 1200

• 1500

• 2000