Which of the following fraction is greater than 4/5 and less than 6/7?

• A. 3/4
• B. 5/6
• C. 2/3
• D. 10/11

Answer: (B)

We have to find X such that 4/5 < X < 6/7Converting each fraction into decimal form, we get:4/5 = 0.86/7 = 0.85We have to find the fraction which is greater than 0.8 and less than 0.85.Now,2/3 = 0.663/4 = 0.755/6 = 0.8310/11 = 0.91Clearly, 0.83 lies between 0.8 and 0.85.Required fraction is 5/6