Order the following numbers from least to greatest. Put the least volue on the left. \( 1 \frac{1}{3} \quad \frac{127}{100} \)

To order the numbers \( 1 \frac{1}{3} \) and \( \frac{127}{100} \) from least to greatest, it helps to convert both of them into improper fractions or decimals. First, convert \( 1 \frac{1}{3} \) to an improper fraction: \[ 1 \frac{1}{3} = \frac{4}{3} \approx 1.33 \] Next, convert \( \frac{127}{100} \) to a decimal: \[ \frac{127}{100} = 1.27 \] Now, comparing the two, \( 1.27 < 1.33 \). So, the order from least to greatest is: \[ \frac{127}{100} < 1 \frac{1}{3} \] In conclusion, the numbers ordered from least to greatest are: \( \frac{127}{100}, 1 \frac{1}{3} \).