Question: Directions: What should come at the place of question mark (?) in the following questions?
$ ( \frac{1}{2\frac{1}{3}}+\frac{1}{1\frac{3}{4}} )=? $
Options:
A) $ 4\frac{1}{12} $
B) $ \frac{7}{14} $
C) $ \frac{12}{49} $
D) None of these
Show Answer
Answer:
Correct Answer: D
Solution:
- $ [ \frac{1}{2\frac{1}{3}}+\frac{1}{1\frac{3}{4}} ] $
$ =[ \frac{1}{\frac{3\times 2\times 1}{3}}+\frac{1}{\frac{4\times 1\times 3}{4}} ]=[ \frac{1}{\frac{6+1}{3}}+\frac{1}{\frac{4+3}{4}} ] $
$ [ \frac{1}{\frac{7}{3}}+\frac{1}{\frac{7}{4}} ]=\frac{3}{7}+\frac{4}{7}=\frac{3+4}{7}=\frac{7}{7}=1 $