Solve the following linear equation using equivalent equations to isolate the variable. Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places.

6w=4

To solve the linear equation \( 6w = 4 \) using equivalent equations to isolate the variable \( w \), follow these steps:

1. **Divide both sides by 6** to isolate \( w \):
   \[
   w = \frac{4}{6}
   \]

2. **Simplify the fraction** \(\frac{4}{6}\):
   \[
   w = \frac{2}{3}
   \]

So, the solution is:

\[
w = \frac{2}{3}
\]

This can also be expressed as a decimal:

\[
w = 0.67
\]

rounded to two decimal places.

Would you like more details or have any questions? Here are some related questions:

1. How do you check if your solution for a linear equation is correct?
2. What are the steps to solve a linear equation with variables on both sides?
3. How do you convert a repeating decimal to a fraction?
4. What is the process for simplifying complex fractions?
5. How can you solve a linear equation with a fractional coefficient?

**Tip:** When simplifying fractions, always look for the greatest common divisor (GCD) of the numerator and denominator to reduce the fraction to its lowest terms.

Solve the following linear equation using equivalent equations to isolate the variable. Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places. 6w = 4

Learn how to solve the linear equation 6w = 4 by isolating the variable w. This guide includes step-by-step instructions, simplifying the fraction, and converting to decimal form. Ideal for students in Grades 6-8 studying algebraic concepts and linear equations.

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