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To solve the problem of making the two fractions equivalent, we need to find the missing numerator for the fraction with the denominator of 27.

We are given:
\[
\frac{5}{9} = \frac{x}{27}
\]

To find \( x \), we apply the rule of equivalent fractions, which means the cross products must be equal:
\[
5 \times 27 = 9 \times x
\]

Let's solve this equation.

\[
5 \times 27 = 135
\]

Now, divide both sides by 9:
\[
x = \frac{135}{9} = 15
\]

Thus, the missing numerator is 15. The equivalent fraction is:

\[
\frac{5}{9} = \frac{15}{27}
\]

Would you like more details on this process or to ask any questions? Here are five related questions you might explore:

1. How do you find equivalent fractions in general?
2. What are cross products and why are they useful for comparing fractions?
3. Can equivalent fractions always be reduced to their simplest form?
4. How do you determine the least common denominator between two fractions?
5. What happens if both the numerator and denominator are multiplied by the same number?

**Tip**: Remember, multiplying both the numerator and denominator of a fraction by the same number creates an equivalent fraction.

Fill in the blank to make the two fractions equivalent: 5/9 = __/27.

Learn how to find the missing numerator to make the fractions 5/9 and ?/27 equivalent. This problem covers core concepts such as cross-multiplication and equivalent fractions, perfect for Grades 5-7.

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