Question : The value of $14 \frac{4}{9}+16 \frac{5}{27}+2 \frac{5}{54}$ is:
Option 1: $32 \frac{17}{18}$
Option 2: $32 \frac{13}{18}$
Option 3: $31 \frac{13}{18}$
Option 4: $32 \frac{11}{18}$
Correct Answer: $32 \frac{13}{18}$
Solution :
Given expression,
$14 \frac{4}{9}+16 \frac{5}{27}+2 \frac{5}{54}$
$=\frac{130}{9}+\frac{437}{27}+\frac{113}{54}$
$=\frac{780+874+113}{54}$
$=\frac{1767}{54}$
$=32\frac{39}{54}$
$=32\frac{13}{18}$
Hence, the correct answer is $32\frac{13}{18}$.
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