Solve for x.

start fraction, 2, divided by, 9, end fraction, equals, start fraction, x, divided by, 27, end fraction

92​=

27*x*​

The given equation is:

\[
\frac{2}{9} = \frac{x}{27}
\]

To solve for \( x \), we can cross-multiply:

\[
2 \cdot 27 = 9 \cdot x
\]

Simplifying both sides:

\[
54 = 9x
\]

Now, divide both sides by 9 to isolate \( x \):

\[
x = \frac{54}{9} = 6
\]

Thus, \( x = 6 \).

Would you like further details or have any questions?

Here are 5 related questions you might find useful:
1. What is cross-multiplication and when can it be used?
2. How do you simplify ratios in fraction form?
3. What happens if both numerators and denominators are variables?
4. Can you solve similar proportions with more complex numbers?
5. How does this relate to solving proportions in real-world problems?

**Tip:** Always check your work by substituting the value of \( x \) back into the original equation!

Solve for x. \( \frac{2}{9} = \frac{x}{27} \)

Learn how to solve proportions using cross-multiplication with the example \( \frac{2}{9} = \frac{x}{27} \). This problem demonstrates key algebraic concepts and step-by-step methods suitable for students in Grades 6-8.

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