B. The solution to the given fraction is -11/12.
What is fraction?
A fraction represents a part of a whole or, more generally, any number of equal parts.
What are types of fractions?
The two types of fraction are proper and improper fractions.
What is improper fraction?
Improper fraction is a fraction whose numerator is equal to, larger than, or of equal or higher degree than the denominator.
Simplification of the fraction
(⁵/₈ + ³/₄) / (-²/₃ - ⁵/₆)
resolve the numerator and denominator separately;
numerator: ⁵/₈ + ³/₄ = ¹¹/₈
denominator: -²/₃ - ⁵/₆ = -⁹/₆
divide the numerator by the denominator as follows;
¹¹/₈ / -⁹/₆ = ¹¹/₈ x ⁻⁶/₉ = ¹¹/₄ x ⁻³/₉ = ¹¹/₄ x ⁻¹/₃ = - ¹¹/₁₂
Thus, the solution to the given fraction is -11/12.
Learn more about fractions here: https://brainly.com/question/78672
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