Question

Arun worked in Company A for $1\frac{3}{4}$ years; he then worked in Company B for $2\frac{1}{3}$ years. How many years did he work in total?

• A. $4\frac{1}{12}$ years
• B. $3\frac{3}{7}$ years
• C. $4\frac{1}{4}$ years
• D. $3\frac{11}{12}$ years

Answer 1

The correct option is A $4\frac{1}{12}$ years

Years Arun worked in Company A
= $1\frac{3}{4}=\frac{\left(1\times 4\right)+3}{4}=\frac{7}{4}$ years
Years Arun worked in Company B
= $2\frac{1}{3}=\frac{\left(2\times 3\right)+1}{3}=\frac{7}{3}$ years
Hence, the number of years worked is
$\frac{7}{4}+\frac{7}{3}=\frac{21}{12}+\frac{28}{12}=\frac{21+28}{12}=\frac{49}{12}=4\frac{1}{12}$
Therefore, he worked for $4\frac{1}{12}$ years.