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To simplify \(\sqrt{\frac{4}{100}}\), follow these steps:

1. Break the square root of the fraction into two parts:
   \[
   \sqrt{\frac{4}{100}} = \frac{\sqrt{4}}{\sqrt{100}}
   \]
   
2. Find the square roots of both the numerator and the denominator:
   \[
   \sqrt{4} = 2, \quad \sqrt{100} = 10
   \]

3. Now, substitute these values back into the fraction:
   \[
   \frac{\sqrt{4}}{\sqrt{100}} = \frac{2}{10}
   \]

4. Simplify the fraction:
   \[
   \frac{2}{10} = \frac{1}{5}
   \]

So, the simplified form of \(\sqrt{\frac{4}{100}}\) is \(\frac{1}{5}\).

Would you like further details or have any questions?

Here are 5 related questions:
1. How would you simplify \(\sqrt{\frac{9}{25}}\)?
2. What is the general rule for simplifying square roots of fractions?
3. Can every fraction's square root be simplified in this manner?
4. How would you calculate \(\sqrt{\frac{49}{144}}\)?
5. What happens if the numerator or denominator is not a perfect square?

**Tip:** Always check if both the numerator and denominator are perfect squares when simplifying square roots of fractions.

Learn how to simplify the square root of the fraction 4/100 using basic concepts of square roots and fractions. This problem demonstrates key mathematical steps and is perfect for students in Grades 6-8.

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