Question

3. The value of
1/[1+1/{1+1/(1+1/2)}] is
a) 5/8
b) 8/5
c) 4/5
d) 3/5​

Answer 1

Step-by-step explanation:

So the answer goes like this using BODMAS rule:

-> 1/[1+1/{1+1/(1+1/2)}]

-> 1/[1+1/{1+1/(1+0.5)}]

-> 1/[1+1/{1+1/(1.5)}]

-> 1/[1+1/{1+0.67}]

-> 1/[1+1/1.67]

-> 1/[1+0.6]

->1/1.6

=0.625 (approx)

In this equation first we solve the numbers inside ‘( )’ brackets.

Then we divide 1/2 which will give 0.5

Next that 0.5 sums up with the 1 on its left side side (as shown above)

Again we divide 1 by the number we got in the above point i.e. 1.5

Then 1 is added by the number we get as the the result from 1/1.5

Next 1 is divided by the number we get from the above point i.e. 1.67

Now add the number we get from above point to 1.

Now finally we divide 1 from 1.6 which whiill vfetch our result, i.e. 0.625.