Determining Equivalent Ratios in 6th Grade Math

What is required to determine if two ratios are equivalent?

• Multiplying or dividing both quantities by different numbers

• Comparing the ratios without any mathematical operations

• Adding or subtracting the same number from both quantities

• Multiplying or dividing both quantities by the same number

What does a ratio compare?

• Two operations

• Two different equations

• Two quantities

• Two solutions

What does it mean if two ratios are equivalent?

• They are both greater than 1

• They can be added together

• They represent the same value

• They have the same denominator

If you multiply the ratio 4 to 3 by 2, what is the equivalent ratio?

• 8 to 6

• 10 to 6

• 12 to 9

• 6 to 4

What is the greatest common factor used to simplify the ratio 15 to 5?

• 5

• 3

• 15

• 10

Are the ratios 3 to 8 and 6 to 16 equivalent?

• No, because they represent different quantities

• Yes, by dividing by 2

• No, because they are simplified differently

• Yes, by multiplying by 2

What method can be used to determine if two ratios are equivalent besides multiplication or division?

• Subtraction

• Comparison without operations

• Simplification to the same ratio

• Addition

What is the simplified form of the ratio 14 to 6?

• 28 to 12

• 14 to 6

• 2 to 1

• 7 to 3

If two ratios do not simplify to the same ratio, are they equivalent?

• It depends on the initial ratios

• Yes, always

• No, they are not equivalent

• Yes, but only if they are divisible by the same number

How can you simplify a ratio?

• By multiplying the numerator and denominator by the same number

• By adding the same number to both the numerator and denominator

• By dividing both the numerator and denominator by their greatest common factor

• By subtracting the same number from both the numerator and denominator