Compare Decimal and Fraction: Is 7/100 = 0.7?

Choose the appropriate sign (?):

$\frac{7}{100}\stackrel{?}{=}0.7$

Let's proceed with solving the problem step by step:

• Step 1: Convert the decimal $0.7$ into a fraction.

  The number $0.7$ can be expressed as a fraction by recognizing it as $\frac{7}{10}$, since the digit $7$ is in the tenths place.

• Step 2: Compare the two fractions, $\frac{7}{100}$ and $\frac{7}{10}$.

  Both fractions have the same numerator of $7$. When comparing fractions with the same numerator, the fraction with the smaller denominator is the larger fraction. Thus, $\frac{7}{10}$ is greater than $\frac{7}{100}$.

• Step 3: Determine the appropriate sign.

  Since $\frac{7}{10}$ is greater than $\frac{7}{100}$, we have: $\frac{7}{100} < 0.7$.

The appropriate sign is therefore $<$.

Therefore, the solution to the problem is that $\frac{7}{100} < 0.7$.