Find the quotient.
–7 ÷ fourteen-thirds
A. negative two-thirds
B. negative ninety-eight-thirds
C. negative one-half
D. negative three-halves
B. negative ninety-eight-thirds
To find the quotient of -7 ÷ fourteen-thirds, we need to divide -7 by fourteen-thirds.
We can rewrite fourteen-thirds as a fraction: 14/3.
To divide -7 by 14/3, we multiply -7 by the reciprocal of 14/3.
The reciprocal of 14/3 is 3/14.
So, -7 ÷ 14/3 becomes -7 * 3/14.
When we multiply these fractions, we get (-7 * 3) / 14, which equals to -21/14.
Simplifying this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 7.
-21/14 simplifies to -3/2.
Therefore, the quotient of -7 ÷ fourteen-thirds is represented as option C: negative one-half.