Question

1. \\(\frac{5sqrt{4}}{2sqrt{100}}\\)

Explanation:

Step1: Simplify square roots

Simplify $\sqrt{4}$ and $\sqrt{100}$. We know that $\sqrt{4} = 2$ and $\sqrt{100}=10$. Substitute these values into the expression:
$\frac{5\times2}{2\times10}$

Step2: Simplify numerator and denominator

Calculate the numerator: $5\times2 = 10$. Calculate the denominator: $2\times10 = 20$. Now the expression becomes $\frac{10}{20}$.

Step3: Simplify the fraction

Simplify $\frac{10}{20}$ by dividing both numerator and denominator by their greatest common divisor, which is 10. So $\frac{10\div10}{20\div10}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$