Cross Multiplying and Comparing Ratios

Mr. Buffington from Simplify Academy explains how to compare ratios using two methods: common denominators and cross multiplication. He introduces the symbols for comparison, such as less than, greater than, and equal to. The video demonstrates how to find a common denominator by multiplying each fraction by the denominator of the other fraction. It also covers cross multiplication, showing how to multiply across the fractions to compare them. Practice problems are included to reinforce the concepts.

What is the main topic discussed in the video?

• Comparing ratios

• Solving equations

• Learning about percentages

• Understanding decimals

Which symbol is used to indicate that one number is less than another?

• Greater than

• Not equal to

• Equal to

• Less than

What is the easiest way to compare ratios?

• Using a calculator

• Cross multiplying

• Finding a common denominator

• Using decimals

Why is it difficult to compare ratios with unlike denominators?

• They are not real numbers

• They cannot be visually compared easily

• They require complex calculations

• They are always equal

How can you make two fractions have a common denominator?

• Add the numerators

• Multiply each fraction by the other's denominator

• Subtract the denominators

• Divide the fractions by each other

What is the common denominator of 3/5 and 4/7 when using the method described?

• 28

• 12

• 21

• 35

What is cross multiplying primarily used for?

• Comparing ratios

• Solving equations

• Finding common denominators

• Calculating percentages

In the example given, what is the result of cross multiplying 5/8 and 7/10?

• 35 and 80

• 50 and 56

• 40 and 70

• 45 and 60

What is the benefit of practicing cross multiplying without writing denominators?

• It is more accurate

• It saves time

• It is less confusing

• It is a requirement

What does it mean if cross multiplying results in equal products?

• The ratios are not comparable

• The ratios are equivalent

• The ratios are incorrect

• The ratios are different