Question

Which statement about determining the quotient 12÷14 is true? Responses Because 16×14=12, 12 divided by 14 is 16. Because , 16 times 1 fourth equals 12, , 12 divided by , 1 fourth, is 16. Because 3×14=12, 12 divided by 14 is 3. Because , 3 times 1 fourth equals 12, , 12 divided by , 1 fourth, is 3. Because 48×14=12, 12 divided by 14 is 48. Because , 48 times 1 fourth equals 12, , 12 divided by , 1 fourth, is 48. Because 24×14=12, 12 divided by 14 is 24.

Answer 1

The accurate statement is that 12 divided by 14 is 3, as 3 times 14 equals 12. The other statements contain errors in multiplication or misunderstandings of the division process, leading to incorrect results.

The correct statement about determining the quotient 12 divided by 14 is that 12 divided by 14 is 3. The misconceptions in the other statements arise from errors in multiplication or a misunderstanding of division.

Let's analyze the correct and incorrect statements:

Incorrect: 16 times 14 equals 12, 12 divided by 14 is 16. This is incorrect because the product of 16 times 14 is 224, not 12.

Incorrect: 16 times 1 fourth equals 12, 12 divided by 1 fourth is 16. This is also incorrect. Multiplying 16 by 1 fourth results in 4, not 12.

Correct: 3 times 14 equals 12, 12 divided by 14 is 3. This is the accurate statement, as 3 times 14 does equal 12.

Incorrect: 3 times 1 fourth equals 12, 12 divided by 1 fourth is 3. This is incorrect. The product of 3 times 1 fourth is 3 fourths, not 12.

Incorrect: 48 times 14 equals 12, 12 divided by 14 is 48. This is incorrect as 48 times 14 is 672, not 12.

Incorrect: 48 times 1 fourth equals 12, 12 divided by 1 fourth is 48. This is also incorrect. The product of 48 times 1 fourth is 12, but the division is incorrectly stated.

Incorrect: 24 times 14 equals 12, 12 divided by 14 is 24. This is incorrect as 24 times 14 is 336, not 12.