Question

Select the correct bar model to add $\frac{1}{6}\text{and}\frac{1}{3}$.

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Detailed step-by-step solution:
$\frac{1}{6}+\frac{1}{3}$

For fraction $\frac{1}{6}$, the bar is divided into $6$ equal partitions out of which $1$ is shaded.

For fraction $\frac{1}{3}$, the bar is divided into $3$ equal partitions out of which $1$ is shaded.

Divide each partition further into $2$ equal parts, so there will be a total of $6$ equal partitions, and each partition will represent a fraction of $\frac{1}{6}$.


$\frac{1}{3}=\frac{1\times 2}{3\times 2}=\frac{2}{6}$

$\frac{1}{3}$ is represented as $\frac{2}{6}$, when the number of partitions is $6$.

$\frac{1}{6}+\frac{1}{3}=\frac{1}{6}+\frac{2}{6}=\frac{3}{6}$

Hence, option C is correct.