How many `(1)/(6)` are there in `(2)/(3)`?

Options

A. 2
B. 3
C. 4
D. 6

Answer

To determine how many \( \frac{1}{6} \) are there in \( \frac{2}{3} \), we can follow these steps:

### Step 1: Set up the equation
We want to find out how many times \( \frac{1}{6} \) fits into \( \frac{2}{3} \). We can express this mathematically by letting \( x \) be the number of \( \frac{1}{6} \) in \( \frac{2}{3} \):
\[ x \cdot \frac{1}{6} = \frac{2}{3} \]

### Step 2: Solve for \( x \)
To find \( x \), we can rearrange the equation:
\[ x = \frac{2}{3} \div \frac{1}{6} \]
Dividing by a fraction is the same as multiplying by its reciprocal:
\[ x = \frac{2}{3} \cdot 6 \]

### Step 3: Perform the multiplication
Now, we can multiply:
\[ x = \frac{2 \cdot 6}{3} = \frac{12}{3} = 4 \]

### Conclusion
Thus, there are \( 4 \) \( \frac{1}{6} \) in \( \frac{2}{3} \).

### Final Answer
The answer is \( 4 \).

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