Converting Units using Ratio Reasoning

Complete the conversions.

2 feet = ​ (a)   inches

2 yards = ​ (b)   inches or ​ (c)   feet

4 yards = ​ (d)   inches or ​ (e)   feet

• 24

• 72

• 6

• 144

• 12

Answer explanation

To convert feet to inches, multiply by 12. Thus, 2 feet = 2 x 12 = 24 inches. For yards, 1 yard = 36 inches, so 2 yards = 2 x 36 = 72 inches and 4 yards = 4 x 36 = 144 inches. 2 yards = 6 feet.

7 feet = ___ inches

• 144 inches

• 49 inches

• 84 inches

• 19 inches

Answer explanation

To convert feet to inches, multiply the number of feet by 12. Therefore, 7 feet x 12 inches/foot = 84 inches. Thus, the correct answer is 84 inches.

Convert 5 ft 10 in. to inches.

• 70 inches

• 42 inches

• 80 inches

• 55 inches

Answer explanation

To convert 5 feet 10 inches to inches, first convert feet to inches: 5 ft x 12 in/ft = 60 in. Then add the 10 inches: 60 in + 10 in = 70 in. Therefore, the correct answer is 70 inches.

99 feet = ___ yards?

• 33 yards

• 11 yards

• 297 yards

• 99 yards

Answer explanation

To convert feet to yards, divide the number of feet by 3. Thus, 99 feet ÷ 3 = 33 yards. Therefore, the correct answer is 33 yards.

6 yd. = ___ ft.

• 6 feet

• 12 feet

• 18 feet

• 3 feet

Answer explanation

To convert yards to feet, multiply by 3 (since 1 yard = 3 feet). Therefore, 6 yards = 6 x 3 = 18 feet. The correct answer is 18 feet.

_____ inches = 1/2 ft or 0.5 ft.

• 7

• 6.5

• 1/2

• 6

Answer explanation

1/2 ft is equivalent to 6 inches, since 1 ft equals 12 inches. Therefore, 1/2 ft or 0.5 ft equals 6 inches, making the correct answer 6.

1/4 of a mile = _________ feet

• 21,120

• 2640

• 440

• 1320

Answer explanation

To convert miles to feet, use the fact that 1 mile = 5280 feet. Therefore, 1/4 of a mile = 5280 / 4 = 1320 feet. Thus, the correct answer is 1320.

12 pounds = _______ ounces

• 3

• 12/16

• 192

• 48

Answer explanation

To convert pounds to ounces, multiply by 16 (since 1 pound = 16 ounces). Therefore, 12 pounds = 12 x 16 = 192 ounces. The correct answer is 192.

15 quarts = _______ gallons

• 60

• 7 1/2

• 5

• 3 3/4

Answer explanation

To convert quarts to gallons, divide the number of quarts by 4. Thus, 15 quarts ÷ 4 = 3.75 gallons, which is equivalent to 3 3/4 gallons. Therefore, the correct answer is 3 3/4.

21,120 feet = _____ miles

• 5,280

• 4

• 1,760

• 5

Answer explanation

To convert feet to miles, divide the number of feet by 5,280 (the number of feet in a mile). Thus, 21,120 feet ÷ 5,280 feet/mile = 4 miles. Therefore, the correct answer is 4.