Question

Select the correct addition equation for the given bar model.

• A. $\frac{3}{8}+\frac{1}{4}=\frac{5}{4}$
• B. $\frac{3}{8}+\frac{1}{4}=\frac{5}{8}$
• C. $\frac{3}{8}+\frac{2}{4}=\frac{5}{8}$
• D. $\frac{3}{8}+\frac{1}{4}=\frac{4}{8}$

Answer 1

The correct option is B $\frac{3}{8}+\frac{1}{4}=\frac{5}{8}$

For the first bar, there are $8$ equal partitions out of which $3$ are shaded. So, the fraction is $\frac{3}{8}$.

For the second bar, there are $4$ equal partitions out of which $1$ is shaded. So, the fraction is $\frac{1}{4}$.

Now, to add $\frac{3}{8}+\frac{1}{4}$, the number of partitions in the second bar should also be $8$.

Divide each partition further into $2$ equal parts, so there will be a total of $8$ equal partitions, and each partition will represent a fraction of $\frac{1}{8}$ .

$\frac{1}{4}=\frac{1\times 2}{4\times 2}=\frac{2}{8}$

$\frac{1}{4}$ is represented as $\frac{2}{8}$, when the number of partitions is $8$.

$\frac{3}{8}+\frac{1}{4}=\frac{3}{8}+\frac{2}{8}=\frac{5}{8}$

Hence, Option A is correct.