Question

Solve this fraction based question for 20 points.

Answer 1

The simplified form of the expression is -11/9

Rational expressions

These are expressions written as fractions. Given the following fraction

$\dfrac{\frac{5}{8} +\frac{3}{4} }{\frac{-2}{3}-\frac{5}{6} }$

Find the LCM of the numerator and denominator

$\dfrac{\frac{5}{8} +\frac{3}{4} }{\frac{-2}{3}-\frac{5}{6} }\\\dfrac{\frac{5+6}{8} }{\frac{-4-5}{6} } \\\dfrac{\frac{11}{8} }{\frac{-9}{8} }$

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

Learn more on fractions here: brainly.com/question/78672

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