To order the numbers from least to greatest, let's first simplify and convert them to a similar format.
- -5/40: This simplifies to -1/8 or -0.125.
- 2.075: This is already in decimal form.
- 2 4/34: This can be converted to an improper fraction:
- Calculate \( 4/34 = 2/17 \) (simplifying 4/34).
- So, \( 2 4/34 = 2 + 2/17 = 2 + 0.11765 \approx 2.11765 \).
- 6/16: This simplifies to 3/8 or 0.375.
- 15/24: This simplifies to 5/8 or 0.625.
Now we have:
- \(-0.125\) (from -5/40)
- \(2.075\) (already a decimal)
- \(2.11765\) (from 2 4/34)
- \(0.375\) (from 6/16)
- \(0.625\) (from 15/24)
Now let's list them in decimal form:
- \(-0.125\)
- \(0.375\)
- \(0.625\)
- \(2.075\)
- \(2.11765\)
Now we can order them from least to greatest:
- -0.125 (-5/40)
- 0.375 (6/16)
- 0.625 (15/24)
- 2.075
- 2.11765 (2 4/34)
Thus, the final ordered list from least to greatest is: -5/40, 6/16, 15/24, 2.075, 2 4/34