Question : What is the value of $9\frac{1}{3}+19\frac{2}{3}+20\frac{3}{4}+19\frac{1}{4}$?
Option 1: 67
Option 2: 65
Option 3: 59
Option 4: 69
Correct Answer: 69
Solution :
Given: $9\frac{1}{3}+19\frac{2}{3}+20\frac{3}{4}+19\frac{1}{4}$
= $9+\frac{1}{3}+19+\frac{2}{3}+20+\frac{3}{4}+19+\frac{1}{4}$
= $\left (9+19+20+19 \right )+\left (\frac{1}{3} +\frac{2}{3} +\frac{3}{4}+\frac{1}{4}\right )$
= $67+\left (\frac{3}{3}+\frac{4}{4} \right )$
= $67 + 1 + 1$
= $69$
Hence, the correct answer is 69.
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