What per cent of `2/7` is `1//35`?

Options

A. `25%`
B. `20%`
C. `15%`
D. `10%`

Answer

To find out what percent of \( \frac{2}{7} \) is \( \frac{1}{35} \), we can follow these steps:

### Step 1: Set up the equation
We need to find \( x \) such that:
\[ x\% \text{ of } \frac{2}{7} = \frac{1}{35} \]
This can be expressed mathematically as:
\[ \frac{x}{100} \times \frac{2}{7} = \frac{1}{35} \]

### Step 2: Multiply both sides by 100 to eliminate the percentage
\[ x \times \frac{2}{7} = \frac{100}{35} \]

### Step 3: Simplify the right side
First, simplify \( \frac{100}{35} \):
\[ \frac{100}{35} = \frac{20}{7} \]
So now we have:
\[ x \times \frac{2}{7} = \frac{20}{7} \]

### Step 4: Eliminate the fraction by multiplying both sides by 7
\[ x \times 2 = 20 \]

### Step 5: Solve for \( x \)
Now, divide both sides by 2:
\[ x = \frac{20}{2} = 10 \]

### Step 6: Conclusion
Thus, \( x = 10 \). This means that \( \frac{1}{35} \) is \( 10\% \) of \( \frac{2}{7} \).

### Final Answer
The answer is \( 10\% \).

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