Solve for v in the equation v/4 = 17/11.
Understand the Problem
The question is asking us to solve for the variable v in the equation v/4 = 17/11. This involves cross-multiplying to isolate v.
Answer
$$ v = \frac{68}{11} $$
Answer for screen readers
$$ v = \frac{68}{11} $$
Steps to Solve
- Cross-multiply to eliminate fractions
To eliminate the fractions, we cross-multiply the equation:
$$ v \cdot 11 = 17 \cdot 4 $$
- Perform the multiplication
Now we calculate the right side:
$$ v \cdot 11 = 68 $$
- Isolate v
Next, we isolate ( v ) by dividing both sides by 11:
$$ v = \frac{68}{11} $$
- Decimal or simplified form (if needed)
You can either leave the answer as a fraction or convert it to a decimal:
$$ v \approx 6.18 $$
$$ v = \frac{68}{11} $$
More Information
The value of ( v ) can also be approximated as ( 6.18 ). This fraction does not simplify further, making it a precise answer for the problem.
Tips
- Confusing the order of operations: Ensure you correctly apply cross-multiplication before isolating the variable.
- Forgetting to divide by the coefficient: Make sure to divide by 11 after cross-multiplying to isolate ( v ).
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