`5/7 // 6` is equl to:

Options

A. `30/7`
B. `5/42`
C. `30/42`
D. `6/7`

Answer

To solve the problem \( \frac{5}{7} \div 6 \), we can follow these steps:

### Step 1: Understand the Division of a Fraction by a Whole Number
When dividing a fraction by a whole number, we can rewrite the division as multiplication by the reciprocal of the whole number.

### Step 2: Rewrite the Division
We can express \( \frac{5}{7} \div 6 \) as:
\[ \frac{5}{7} \times \frac{1}{6} \]

### Step 3: Multiply the Fractions
Now, we multiply the numerators and the denominators:
\[ \frac{5 \times 1}{7 \times 6} = \frac{5}{42} \]

### Step 4: Final Answer
Thus, the answer to \( \frac{5}{7} \div 6 \) is:
\[ \frac{5}{42} \]

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