Solve the following equation. Write your answer as an integer, proper fraction, or mixed number in simplest form.

11c+4 / 9=6

To solve the equation:

\[
\frac{11c + 4}{9} = 6
\]

Follow these steps:

### Step 1: Eliminate the fraction
Multiply both sides of the equation by 9 to get rid of the denominator.

\[
11c + 4 = 6 \times 9
\]

\[
11c + 4 = 54
\]

### Step 2: Subtract 4 from both sides
\[
11c = 54 - 4
\]

\[
11c = 50
\]

### Step 3: Solve for \( c \)
Now, divide both sides by 11:

\[
c = \frac{50}{11}
\]

This is already in its simplest form, and cannot be simplified further. Therefore, the solution is:

\[
c = \frac{50}{11}
\]

This can also be written as a mixed number:

\[
c = 4 \frac{6}{11}
\]

Would you like more details or further clarifications?

### Related questions:
1. What are the steps to convert an improper fraction into a mixed number?
2. How do you check if a fraction is in its simplest form?
3. Can you explain why multiplying both sides of an equation helps eliminate fractions?
4. How would the steps change if the equation were \( \frac{11c - 4}{9} = 6 \)?
5. What are other methods to solve fractional equations?

### Tip: When solving equations, always aim to isolate the variable step by step to keep things clear!

Solve the following equation. Write your answer as an integer, proper fraction, or mixed number in simplest form.

(11c + 4) / 9 = 6

Learn how to solve the linear equation (11c + 4) / 9 = 6 with detailed steps. This problem involves key algebraic techniques such as eliminating fractions, isolating variables, and simplifying expressions. Suitable for students in Grades 6-8.

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