Question

order these rational numbers from smallest to largest. \\(4\frac{1}{3}\\) \\(4\frac{3}{10}\\) 4.4 \\(4\\ 3/10, 4.4, 4\\ 1/3\\) \\(4\\ 3/10, 4\\ 1/3, 4.4\\) \\(4.4, 4\\ 3/10, 4\\ 1/3\\)

Explanation:

Step1: Convert to decimals

$4\frac{1}{3} = 4 + \frac{1}{3} \approx 4.333$, $4\frac{3}{10} = 4.3$, $4.4 = 4.4$

Step2: Compare decimal values

$4.3 < 4.333 < 4.4$

Step3: Match to original terms

$4\frac{3}{10} < 4\frac{1}{3} < 4.4$

Answer:

4 3/10, 4 1/3, 4.4