Understanding Equivalent Ratios

The video tutorial by The Maths Guy covers how to find and simplify equivalent ratios. It explains the process of using multiplication and division to create equivalent ratios, emphasizing the importance of applying the same operation to both numbers in a ratio. The tutorial also demonstrates how to simplify ratios to their simplest form by identifying common factors. Additionally, it includes examples of identifying equivalent ratios from a list and concludes with practice questions for viewers to solve.

What is the main principle to remember when finding equivalent ratios?

• Add the same number to both parts of the ratio.

• Multiply or divide both parts of the ratio by the same number.

• Subtract the same number from both parts of the ratio.

• Only change one part of the ratio.

Tags

TEKS.MATH.6.4B

If you multiply both parts of the ratio 5:10 by 3, what is the new equivalent ratio?

• 15:30

• 10:20

• 5:15

• 20:40

Tags

TEKS.MATH.6.4B

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

• 10:5

• 5:1

• 1:2

• 2:1

Tags

TEKS.MATH.6.4C

TEKS.MATH.6.4D

What is the simplest form of the ratio 32:12?

• 32:12

• 16:6

• 8:3

• 4:1

Tags

TEKS.MATH.6.4H

If you multiply the ratio 32:12 by 100, what is the resulting ratio?

• 32:12

• 1600:600

• 3200:1200

• 320:120

Tags

TEKS.MATH.6.4B

Which of the following is an equivalent ratio to 6:9?

• 2:3

• 3:5

• 4:9

• 6:30

Tags

TEKS.MATH.6.4B

Why is the ratio 4:8 equivalent to 1:2?

• Because 4 is double of 8.

• Because 8 is half of 4.

• Because 8 is double of 4.

• Because 4 is half of 8.

Tags

TEKS.MATH.6.4B

Which of these is not an equivalent ratio to 6:9?

• 3:5

• 2:3

• 4:6

• 12:18

Tags

TEKS.MATH.6.4B

What is the equivalent ratio of 4:8 when simplified?

• 8:16

• 4:2

• 1:2

• 2:4

Tags

TEKS.MATH.6.4B

What should you do to both numbers in a ratio to maintain equivalence?

• Add different numbers to each.

• Multiply or divide by different numbers.

• Multiply or divide by the same number.

• Subtract different numbers from each.

Tags

TEKS.MATH.6.4B