Question

225 729 25 144 응 16 81

Answer 1

Answer: 5/16

Step-by-step explanation:

For this question, note that:

$\sqrt{16}=4\\ \\ \sqrt{25}=5 \\\\\sqrt{81}=9\\\\\sqrt{144}=12\\\\\sqrt{225}=15\\\\\sqrt{729}=27$

This means we can rewrite the given expression as:

$\left(\frac{15}{27}-\frac{5}{12} \right) \div \frac{4}{9}\\\\=\left(\frac{5}{9}-\frac{5}{12} \right) \div \frac{4}{9}\\\\=\left(\frac{(5)(12)-(5)(9)}{(9)(12)} \right) \div \frac{4}{9}\\\\=\frac{15}{108} \div \frac{4}{9}\\\\=\frac{5}{36} \div \frac{4}{9}\\\\=\frac{5}{36} \times \frac{9}{4}\\\\=\frac{45}{144}\\\\=\boxed{\frac{5}{16}}$