The students of Class V were able to attempt the problem `(1)/(2)div(1)/(3)` correctly, but not able to solve the problem. ''How many `(1)/(3)` cake pieces are there in half a cake?''. The reason is

Options

A. students' language development is poor
B. problem is of higher difficulty level for Class V
C. operation on fractions are taught without contextualisation and language support
D. students are not able to understand the mathematical equivalence of the two problems

Answer

To solve the problem of how many \( \frac{1}{3} \) cake pieces are there in half a cake, we can follow these steps:

### Step 1: Understand the Problem
The problem asks how many pieces of size \( \frac{1}{3} \) can fit into \( \frac{1}{2} \) of a cake.

### Step 2: Set Up the Division
To find out how many \( \frac{1}{3} \) pieces are in \( \frac{1}{2} \), we can set up the division:
\[ \frac{1}{2} \div \frac{1}{3} \]

### Step 3: Change Division to Multiplication
When dividing fractions, we can multiply by the reciprocal of the second fraction. Thus, we can rewrite the division as:
\[ \frac{1}{2} \times \frac{3}{1} \]

### Step 4: Perform the Multiplication
Now, we multiply the fractions:
\[ \frac{1 \times 3}{2 \times 1} = \frac{3}{2} \]

### Step 5: Interpret the Result
The result \( \frac{3}{2} \) means that there are \( 1.5 \) pieces of \( \frac{1}{3} \) in \( \frac{1}{2} \) of a cake. This can be interpreted as there being one whole piece and half of another piece.

### Conclusion
Thus, the answer to the question "How many \( \frac{1}{3} \) cake pieces are there in half a cake?" is \( \frac{3}{2} \) or 1.5 pieces.

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