Solve for w: 22.4 = 7w
Understand the Problem
The question is asking us to solve the equation 22.4 = 7w for the variable 'w'. This involves isolating 'w' by dividing both sides of the equation by 7.
Answer
$w = 3.2$
Answer for screen readers
$w = 3.2$
Steps to Solve
- Isolate $w$ by dividing both sides by 7
To get $w$ by itself, we need to divide both sides of the equation by 7:
$$ \frac{22.4}{7} = \frac{7w}{7} $$
- Perform the division
Dividing 22.4 by 7 gives us 3.2, and dividing $7w$ by 7 gives us $w$.
$$ 3.2 = w $$
- Final Answer
Therefore, $w = 3.2$
$w = 3.2$
More Information
The solution to the equation $22.4 = 7w$ is $w = 3.2$.
Tips
A common mistake is to perform the incorrect operation and multiply both sides by 7 instead of dividing. This would lead to isolating $w$ incorrectly. Another error could be making a mistake when dividing 22.4 by 7.
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