The value of 12 - 12 - 12 - 12 is

Calculating, we find that 12 - 12 - 12 - 12 = 12 - 12 - 23 = 12 - 34 = 1 54 = 4/5.

smc

prealgebra intermediate

Problem

The value of

\frac{1}{2 - \frac{1}{2 - \frac{1}{2 - \frac{1}{2}}}}

(A)

3/4

(B)

4/5

(C)

5/6

(D)

6/7

Solution

Calculating, we find that

\frac{1}{2 - \frac{1}{2 - \frac{1}{2 - \frac{1}{2}}}} = \frac{1}{2 - \frac{1}{2 - \frac{2}{3}}} = \frac{1}{2 - \frac{3}{4}} = \frac{1}{\frac{5}{4}} = 4/5

Final answer