w ÷ 7one-half for w = 5five-sixths

A. 35fifty-two-twelfths
B. seven-ninths
C. seven-fifty-firsts

Substituting the value of w = 5five-sixths into the expression w ÷ 7one-half:

w ÷ 7one-half = (5five-sixths) ÷ 7one-half

We convert the divisor into a fraction:

7one-half = 7 ÷ 2 = 14/2 = 7

Now the expression becomes:

(5five-sixths) ÷ 7 = (5/1)/(7/1) = 5/1 * 1/7 = 5/7

Therefore, the answer is option B. seven-ninths.