Compare Fractions and Decimals: Solving 2/20 ? 0.01

Choose the appropriate sign (?):

$\frac{2}{20}?0.01$

To solve this problem, we'll compare the fraction $\frac{2}{20}$ to the decimal $0.01$ by converting both to the same form.

Step 1: Simplify the fraction $\frac{2}{20}$.

$\frac{2}{20}$ simplifies to $\frac{1}{10}$ by dividing both the numerator and the denominator by 2.

Step 2: Convert the simplified fraction $\frac{1}{10}$ to a decimal.

Divide 1 by 10: $\frac{1}{10} = 0.1$.

Step 3: Compare the decimal form of the fraction with $0.01$.

We have $0.1$ and $0.01$. Clearly, $0.1 > 0.01$ since $0.1$ is ten times larger than $0.01$.

Therefore, the correct comparison sign for $\frac{2}{20} ? 0.01$ is $\gt$.