Simplifying Ratios and Equivalent Ratios

The video tutorial explains how to work with ratios, focusing on creating equivalent ratios by multiplying or dividing all terms by the same number. It draws parallels between equivalent ratios and equivalent fractions, emphasizing the importance of maintaining whole numbers in ratios. The tutorial also covers simplifying ratios by dividing by common factors and provides examples to illustrate these concepts.

What happens when you multiply all parts of a ratio by the same number?

• The ratio becomes a fraction.

• You get an equivalent ratio.

• The ratio becomes smaller.

• The ratio becomes larger.

If you have a ratio of 3:2:1 and multiply each part by 3, what is the new ratio?

• 6:4:2

• 9:6:3

• 12:8:4

• 3:2:1

What is the equivalent ratio of 3:2:1 when each part is multiplied by 4?

• 9:6:3

• 15:10:5

• 12:8:4

• 6:4:2

How is an equivalent ratio similar to an equivalent fraction?

• Both can be simplified by adding.

• Both can be simplified by subtracting.

• Both can be simplified by multiplying or dividing by the same number.

• Both are always in simplest form.

What is an equivalent ratio to 4:5?

• 5:4

• 6:7

• 8:10

• 2:3

What is the equivalent ratio of 4:5 when both numbers are multiplied by 2?

• 12:14

• 10:12

• 8:10

• 6:8

How do you simplify a ratio like 22:6?

• Divide both numbers by 2.

• Multiply both numbers by 2.

• Add 2 to both numbers.

• Subtract 2 from both numbers.

What is the simplest form of the ratio 22:6?

• 5.5:1.5

• 22:6

• 11:3

• 44:12

What is the equivalent ratio of 5:10 when both numbers are divided by 5?

• 1:2

• 2:3

• 3:4

• 4:5

Why should ratios not have decimals in their simplest form?

• Decimals make the ratio larger.

• Decimals make the ratio smaller.

• Ratios with decimals are not considered simplest form.

• Decimals are not allowed in mathematics.