Question

Select the correct bar model to add $\frac{4}{9}+\frac{1}{3}$

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

Add $\frac{4}{9}+\frac{1}{3}$.
For the fraction $\frac{4}{9}$, the bar is divided into 9 equal partitions out of which 4 parts are shaded.
For the fraction $\frac{1}{3}$, the bar is divided into 3 equal partitions out of which 1 part is shaded.
Divide each partition further into 3 equal parts, so there will be a total of 9 equal partitions, and each partition will represent a fraction of $\frac{1}{9}$.
$\frac{1\times 3}{3\times 3}=\frac{3}{9}$
$\frac{1}{3}$ is represented as $\frac{3}{9}$ , when the number of partitions is 9.

$\frac{4}{9}+\frac{3}{9}=\frac{7}{9}$
(or)
$\frac{4}{9}+\frac{1}{3}=\frac{7}{9}$
Hence, Option B is correct