Question

order these rational numbers from smallest to largest. $2\frac{1}{5}$ $2.25$ $2\frac{2}{9}$ 2 1/5, 2 2/9, 2.25 2 1/5, 2.25, 2 2/9 2 2/9, 2 1/5, 2.25

Explanation:

Step1: Convert to decimals

$2\frac{1}{5} = 2 + \frac{1}{5} = 2.2$
$2\frac{2}{9} = 2 + \frac{2}{9} \approx 2.222...$

Step2: Compare decimal values

$2.2 < 2.222... < 2.25$

Step3: Map back to originals

$2\frac{1}{5} < 2\frac{2}{9} < 2.25$

Answer:

2 1/5, 2 2/9, 2.25