Provide an appropriate response.
-Find the reciprocal and opposite of -$\frac { 5 } { 7 }$ .
A) reciprocal: $\frac { 5 } { 7 }$ ; opposite: -$\frac { 7 } { 5 }$
B) reciprocal: $\frac { 7 } { 5 }$P ; opposite:$\frac { 5 } { 7 }$
C) reciprocal: -$\frac { 7 } { 5 }$ ; opposite: -$\frac { 5 } { 7 }$
D) reciprocal: ; opposite:$\frac { 7 } { 5 }$

Question

Provide an appropriate response.
-Find the reciprocal and opposite of -$\frac { 5 } { 7 }$ .
A) reciprocal: $\frac { 5 } { 7 }$ ; opposite: -$\frac { 7 } { 5 }$
B) reciprocal: $\frac { 7 } { 5 }$P ;  opposite:$\frac { 5 } { 7 }$
C) reciprocal: -$\frac { 7 } { 5 }$ ; opposite: -$\frac { 5 } { 7 }$
D) reciprocal: ; opposite:$\frac { 7 } { 5 }$

Quizplus · Accepted Answer

The reciprocal of a number is obtained by inverting the fraction, so the reciprocal of -$\frac{5}{7}$ is -$\frac{7}{5}$. The opposite (or additive inverse) of a number is its negative if the number is positive, or its positive if the number is negative, so the opposite of -$\frac{5}{7}$ is $\frac{5}{7}$. However, there seems to be a typo in the options provided, as none exactly match the correct explanation. Option B is closest but includes an extraneous "P" in the description.

Provide an Appropriate Response 57\frac { 5 } { 7 }75​

Provide an Appropriate Response $\frac { 5 } { 7 }$