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Write an equivalent fraction to $\frac{7}{9}$ that has a denominator of 27 .
$\frac{25}{27}$
$\frac{10}{27}$
$\frac{14}{18}$
$\frac{21}{27}$

Step 1 ：The question is asking for an equivalent fraction to \(\frac{7}{9}\) with a denominator of 27. To find an equivalent fraction, we need to multiply both the numerator and the denominator of the original fraction by the same number. In this case, we need to find a number that when multiplied by 9 gives 27.

Step 2 ：Let's denote the original denominator as 9, the target denominator as 27, and the original numerator as 7. We can find the multiplier by dividing the target denominator by the original denominator, which gives us 3.0.

Step 3 ：We then multiply the original numerator by the multiplier to get the new numerator, which is 21.0.

Step 4 ：Therefore, the equivalent fraction to \(\frac{7}{9}\) that has a denominator of 27 is \(\frac{21}{27}\).

Step 5 ：Final Answer: The equivalent fraction to \(\frac{7}{9}\) that has a denominator of 27 is \(\boxed{\frac{21}{27}}\).