Simplifying Ratios and Proportions

This video tutorial teaches students how to simplify ratios that include decimals and fractions. It explains the importance of having whole numbers in simplified ratios and provides methods to eliminate decimals by multiplying by powers of 10. For fractions, it discusses finding a common denominator to simplify the ratios. The video includes examples and practice problems to reinforce the concepts.

What is the first step in simplifying a ratio with decimals?

• Divide by the smallest number

• Subtract the decimals

• Multiply by a power of 10

• Add the decimals together

Why do we multiply by 10 or 100 when simplifying ratios with decimals?

• To increase the value of the ratio

• To eliminate the decimal point

• To make the numbers smaller

• To change the ratio to a fraction

In the example with one decimal place, what is the simplified form of the ratio 12:6?

• 1:2

• 3:2

• 2:1

• 6:3

How do you simplify a ratio with two decimal places?

• Multiply by 100

• Divide by 100

• Multiply by 10

• Divide by 10

What is the simplified form of the ratio 350:425?

• 7:8

• 17:14

• 14:17

• 8:7

What is the simplified form of the ratio 14:17?

• 2:1

• 1:2

• 17:14

• 14:17

What is the simplified form of the ratio 17:14?

• 2:1

• 1:2

• 17:14

• 14:17

What should you do if fractions in a ratio already have a common denominator?

• Divide the numerators

• Multiply the denominators

• Ignore the denominators

• Add the numerators

What is the first step in simplifying a ratio with fractions?

• Subtract the fractions

• Multiply the fractions

• Find a common denominator

• Add the fractions

What is the simplified form of the ratio 1/4 to 3/4?

• 3:4

• 4:3

• 3:1

• 1:3