Answer:
2⁷/₆₀
Step-by-step explanation:
-5⅔ - (-6⅕) + 1⁷/₁₂
1. Remove parentheses
-5⅔ - (-6⅕) + 1⁷/₁₂ = -5⅔ + 6⅕+ 1⁷/₁₂
2. Convert the fractions to their lowest common denominators.
The lowest common denominator of 3, 5, and 12 is 60. Thus
-5⅔ + 6⅕+ 1⁷/₁₂ = -5⁴⁰/₆₀ + 6¹²/₆₀+ 1³⁵/₆₀
3. Add integers and fractions separately
[tex]\begin{array}{lr}-5 & -\dfrac{40}{60} \\\\+6 & \dfrac{12}{60} \\\\+1 & \dfrac{35}{60} \\\\\mathbf{2} & \mathbf{\dfrac{7}{60}} \\\end{array}[/tex]
4. Add the integer and the fraction
2 + ⁷/₆₀ = 2⁷/₆₀
