Exploring Equivalent Ratios

The video tutorial explains how to identify equivalent ratios by multiplying or dividing the terms of a ratio by the same number. It provides examples using the ratios 7 to 6 and 16 to 12, demonstrating the process of finding equivalent ratios and highlighting the importance of maintaining the order of terms. The tutorial also discusses why certain ratios are not equivalent by showing calculations that involve different multipliers or divisors.

What is the key concept to understand when finding equivalent ratios?

• Subtracting the same number from both parts of the ratio

• Adding the same number to both parts of the ratio

• Multiplying or dividing both parts of the ratio by the same number

• Changing the order of the elements in the ratio

If you have a ratio of 7 to 6, what would be the equivalent ratio if you multiply both parts by 2?

• 14 to 12

• 12 to 14

• 7 to 12

• 6 to 14

Why is the ratio 12 to 14 not equivalent to 7 to 6?

• Because 12 and 14 are not divisible by the same number

• Because the order of elements in a ratio matters

• Because 12 is not a multiple of 7

• Because 14 is not a multiple of 6

What is the equivalent ratio to 7 to 6 if you multiply both parts by 3?

• 12 to 14

• 21 to 18

• 14 to 12

• 18 to 21

Which of the following is an equivalent ratio to 7 to 6?

• 12 to 21

• 36 to 42

• 42 to 36

• 21 to 12

What is the equivalent ratio to 7 to 6 if you multiply both parts by 9?

• 63 to 54

• 36 to 42

• 42 to 36

• 54 to 63

Why is the ratio 84 to 62 not equivalent to 7 to 6?

• Because 84 and 62 are not divisible by the same number

• Because 62 is not a multiple of 6

• Because 84 is not a multiple of 7

• Because 84 and 62 are not multiples of each other

What is the equivalent ratio to 16 to 12 if you divide both parts by 2?

• 8 to 6

• 12 to 8

• 16 to 6

• 6 to 8

Which of the following is an equivalent ratio to 16 to 12?

• 32 to 24

• 12 to 32

• 24 to 32

• 16 to 24

Why is the ratio 24 to 16 not equivalent to 16 to 12?

• Because 24 and 16 are not divisible by the same number

• Because 16 is not a multiple of 12

• Because 24 is not a multiple of 16

• Because 24 and 16 are not multiples of each other