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