Question

-5 2/3- (-6 1/5)+ 1 7/12
Show how please

Answer 1

2⁷/₆₀

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

`\begin{array}{lr}-5 & -(40)/(60) \\\\+6 & (12)/(60) \\\\+1 & (35)/(60) \\\\\mathbf{2} & \mathbf{(7)/(60)} \\\end{array}`

4. Add the integer and the fraction

2 + ⁷/₆₀ = 2⁷/₆₀