Final answer:To solve the expression, remember the order of operations: convert mixed numbers to improper fractions, perform division by flipping the divisor and multiplying, then add the fractions using the least common denominator. The result is -74/15.Explanation:To solve this kind of mathematical expression in the correct order, we need to remember PEMDAS principle (Parentheses, Exponents, Multiplication andDivision,Additionand Subtraction).First, convert the mixed numbers into improper fractions. To convert 1 5/9 to an improperfraction, multiply the denominator by the whole number and add the numerator. This gives, 1 5/9 = 9*1+5/9 = 14/9. Similarly, -2 3/5 = -5*2+3/-5 = -13/5.Next, divide 14/9 by -2/3. Dividing fractions involves flipping the divisor and multiplying. So, 14/9 ÷ -2/3 becomes 14/9 × -3/2 = -42/18, which reduces to -7/3 in itssimplestform.Finally, add -7/3 to -13/5. When adding fractions, first find the least common denominator (LCD), which in this case would be 15. -7/3 is -35/15 and -13/5 is -39/15. Adding these two together gives -74/15.So, 1 5/9÷(−2/3)+(−2 3/5) = -74/15 insimplest form.Learn more about Fraction Division and Addition here:brainly.com/question/36708146#SPJ11...

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