Question

Which of the following fractions have the same value as $16÷(-3)$? Check all that apply.

• A. $16$ over negative $3$
• B. $-16$ over negative $3$
• C. $-16$ over $3$
• D. $16$ over $3$
• E. $-\left(16\mathrm{over}3\right)$
• F. $-\left(16\mathrm{over}-3\right)$

Answer 1

Answer: (A), (C), (E)

$-\left(16\mathrm{over}3\right)$

Determine the correct option by applying the division property.

Explanation for correct options:

Option (A) $16\mathrm{over}\mathrm{negative}3$:

It can be written as $\frac{16}{-3}$ That is the same as $16÷\left(-3\right)$.

Hence, the option is correct.

Option (C) $-16\mathrm{over}3$

It can be written as $\frac{-16}{3}$ That is the same as $16÷\left(-3\right)$.

Hence, the option is correct.

Option (E) $-\left(16\mathrm{over}3\right)$:

It can be written as $-\left(\frac{16}{3}\right)$ That is the same as $16÷\left(-3\right)$.

Hence, the option is correct.

Explanation for incorrect options:

Option (B) $-16\mathrm{over}-3$

It can be written as $\frac{-16}{-3}=\frac{16}{3}$ that is not equal to the question.

Hence, this option is incorrect.

Option (D) $16\mathrm{over}3$

It can be written as $\frac{16}{3}$ That is not equal to the question.

Hence, this option is incorrect.

Option (F) $-\left(16\mathrm{over}-3\right)$

It can be written as $-\left(\frac{16}{-3}\right)=\frac{16}{3}$ That is not equal to the question.

Hence, this option is incorrect.

Hence, options (A),(C), and (E) are the correct options.