Ratios & Equivalent Ratios

How can you check if two ratios are equivalent?

• Add the ratios together; if the sum is the same, the ratios are equivalent.

• Cross-multiply the ratios; if the products are equal, the ratios are equivalent.

• Divide the first ratio by the second; if the result is 1, the ratios are equivalent.

• Subtract the smaller ratio from the larger; if the difference is 0, the ratios are equivalent.

Which ratio is equivalent to 2:6?

• 3:9

• 4:12

• 6:18

• 1:3

What is the simplest form of the ratio 8:12?

• 1:2

• 2:3

• 3:4

• 4:5

What is the ratio of soup to pasta if there are 40 bowls of soup and 12 bowls of pasta?

• 40:12

• 5:2

• 10:3

• 3:10

What is the cost of 1 bag of chips if 7 bags cost $10.50?

• $1.00

• $1.25

• $1.50

• $2.00

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

• 15:12

• 20:16

• 25:20

• 10:8

If the cost of 1 bag of chips is $1.50, how much do 7 bags cost?

• $8.00

• $9.00

• $10.50

• $12.00

If you have a ratio of 5:10, what is its equivalent ratio when both terms are divided by 5?

• 1:2

• 2:5

• 5:10

• 3:6

How do you find an equivalent ratio?

• By adding the same number to both terms of the ratio.

• By multiplying or dividing both terms of the ratio by the same non-zero number.

• By finding the greatest common divisor of both terms.

• By subtracting the smaller term from the larger term.

What is the relationship between the ratios 16:24 and 2:3?

• They are equivalent ratios because both simplify to the same fraction (2:3).

• They are not related and cannot be compared.

• They are equivalent ratios but simplify to different fractions.

• They are in a 1:1 ratio.