$$ \left\lvert\, \begin{array}{cc} ext { Divide. Write the answer in simplest form. } \ \begin{array}{cc}\frac{6}{7}+36 \ 0 & 1 / 14 \ 0 & 1 / 21 \ 0 & 1 / 42\end{array}\end{array} ight. $$

Question

$$ \left\lvert\, \begin{array}{cc}	ext { Divide. Write the answer in simplest form. } \ \begin{array}{cc}\frac{6}{7}+36 \ 0 & 1 / 14 \ 0 & 1 / 21 \ 0 & 1 / 42\end{array}\end{array}ight. $$

UpStudy AI · Accepted Answer

It appears you're looking to simplify the following expression:

$$
\frac{\frac{6}{7} + 36}{\frac{1}{14} + \frac{1}{21} + \frac{1}{42}}
$$

Let's break it down step by step.

### Step 1: Simplify the Numerator
$$
\frac{6}{7} + 36 = \frac{6}{7} + \frac{252}{7} = \frac{258}{7}
$$

### Step 2: Simplify the Denominator
$$
\frac{1}{14} + \frac{1}{21} + \frac{1}{42}
$$

To add these fractions, find a common denominator. The least common multiple of 14, 21, and 42 is **42**.

$$
\frac{1}{14} = \frac{3}{42} \
\frac{1}{21} = \frac{2}{42} \
\frac{1}{42} = \frac{1}{42}
$$

Now, add them up:

$$
\frac{3}{42} + \frac{2}{42} + \frac{1}{42} = \frac{6}{42} = \frac{1}{7}
$$

### Step 3: Divide the Simplified Numerator by the Simplified Denominator
$$
\frac{\frac{258}{7}}{\frac{1}{7}} = \frac{258}{7} \times \frac{7}{1} = 258
$$

### Final Answer
$$
258
$$
The answer is 258.

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