Exploring Equivalent Ratios and Their Applications

This video tutorial explains how to determine if two ratios are equivalent using two methods: simplifying fractions and cross multiplication. It provides examples to practice these methods and demonstrates how to solve for an unknown variable in equivalent ratios. The tutorial emphasizes understanding the concept of equivalent ratios and applying mathematical techniques to verify their equivalence.

What is the first step in determining if two ratios are equivalent using the first method?

• Add the ratios together

• Convert the ratios to fractions

• Subtract the smaller ratio from the larger ratio

• Convert the ratios to decimals

How do you simplify the fraction 8/6?

• Divide both numerator and denominator by 4

• Multiply both numerator and denominator by 2

• Subtract 2 from both numerator and denominator

• Divide both numerator and denominator by 2

What is the simplified form of the fraction 12/9?

• 4/3

• 3/2

• 2/3

• 4/2

What is the second method to determine if two ratios are equivalent?

• Cross-multiply the fractions and compare the products

• Add the fractions and compare the sums

• Subtract the fractions and compare the differences

• Convert them to decimals and compare

What is the result of cross-multiplying 8/6 and 12/9?

• 72 and 72

• 54 and 54

• 48 and 48

• 60 and 60

What is the simplified form of the fraction 12/8?

• 4/2

• 2/3

• 4/3

• 3/2

What is the simplified form of the fraction 16/12?

• 4/3

• 3/2

• 2/3

• 4/2

What is the value of x that makes the ratios 15/x and 21/28 equivalent?

• 30

• 15

• 20

• 25

What is the simplified form of the fraction 15/20?

• 5/4

• 2/3

• 4/3

• 3/4

What is the simplified form of the fraction 21/28?

• 5/4

• 2/3

• 4/3

• 3/4