The simplified form of the expression is -11/9
Rational expressions
These are expressions written as fractions. Given the following fraction
[tex]\dfrac{\frac{5}{8} +\frac{3}{4} }{\frac{-2}{3}-\frac{5}{6} }[/tex]
Find the LCM of the numerator and denominator
[tex]\dfrac{\frac{5}{8} +\frac{3}{4} }{\frac{-2}{3}-\frac{5}{6} }\\\dfrac{\frac{5+6}{8} }{\frac{-4-5}{6} } \\\dfrac{\frac{11}{8} }{\frac{-9}{8} }[/tex]
Divide the result to have:
11/8÷-9/8
11/8 * 8/-9
-11/9
Hence the simplified form of the expression is -11/9
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