Question

A bag contains sugar that weighs $6\frac{7}{9}\text{kg}$ and rice that weighs $7\frac{5}{6}$. Find the total weight of the bag.

• A. $4\frac{11}{18}$
• B. $14\frac{11}{18}$
• C. $14\frac{13}{18}$
• D. $14\frac{23}{18}$

Answer 1

The correct option is B $14\frac{11}{18}$

Weight of sugar $=6\frac{7}{9}=\frac{61}{9}\text{kg}$
Weight of rice $=7\frac{5}{6}=\frac{47}{6}\text{kg}$

Total weight of the bag
$=$ weight of the sugar $+$ weight of rice
$=\frac{61}{9}\text{kg}+\frac{47}{6}\text{kg}$

We know, LCM of $9$ and $6$ is $36$.
Therefore, total weight $=\frac{61\times 4}{9\times 4}\text{kg}+$ $\frac{47\times 6}{6\times 6}\text{kg}$

$=\frac{244}{36}+\frac{282}{36}$

$=\frac{244+282}{36}=\frac{526}{36}=\frac{263}{18}$

$=14\frac{11}{18}\text{kg}$