What percent of `1/7` is `2/35` ?

Options

A. 0.2
B. 0.25
C. 0.3
D. 0.4

Answer

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

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

### Step 2: Rearrange the equation
To isolate \( x \), we can multiply both sides by \( 100 \) and then by \( 7 \):
\[ x = \frac{2}{35} \times 100 \times 7 \]

### Step 3: Simplify the right side
First, calculate \( 100 \times 7 \):
\[ 100 \times 7 = 700 \]
Now substitute this back into the equation:
\[ x = \frac{2 \times 700}{35} \]

### Step 4: Calculate \( \frac{2 \times 700}{35} \)
Now, calculate \( 2 \times 700 \):
\[ 2 \times 700 = 1400 \]
So we have:
\[ x = \frac{1400}{35} \]

### Step 5: Divide \( 1400 \) by \( 35 \)
Now, perform the division:
\[ 1400 \div 35 = 40 \]

### Conclusion
Thus, \( x = 40 \). Therefore, \( \frac{2}{35} \) is \( 40\% \) of \( \frac{1}{7} \).

### Final Answer
\[ \text{40\%} \]

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