identify the numeric order of these mixed numbers from largest to smallest:2 3/6, 4 1/3, 1 3/4, 1 4/5

To identify the numeric order of the mixed numbers from largest to smallest, we need to convert them into decimals or find a common denominator for easier comparison.

1) 2 3/6: Convert the mixed number to fraction form: 2 + 3/6 = 12/6 + 3/6 = 15/6 = 2.5 in decimal form.

2) 4 1/3: Convert the mixed number to fraction form: 4 + 1/3 = 12/3 + 1/3 = 13/3 ≈ 4.33 in decimal form.

3) 1 3/4: Convert the mixed number to fraction form: 1 + 3/4 = 4/4 + 3/4 = 7/4 = 1.75 in decimal form.

4) 1 4/5: Convert the mixed number to fraction form: 1 + 4/5 = 5/5 + 4/5 = 9/5 = 1.8 in decimal form.

Now, we can order the numbers from largest to smallest:
4.33, 2.5, 1.8, 1.75

So, the numeric order from largest to smallest is: 4 1/3, 2 3/6, 1 4/5, 1 3/4.