Answer:
[tex] -4 \frac{14}{15} [/tex]
Step-by-step explanation:
According to the Order of Operations [GEMS\BOMDAS\PEMDAS etc.], in a case, Subtraction & Addition are evaluated after Division & Multiplication:
[tex]1 \frac{5}{9} \div - \frac{2}{3} + -2 \frac{3}{5} = 1 \frac{5}{9} \times -1 \frac{1}{2} - 2 \frac{3}{5} = -2 \frac{1}{3} - 2 \frac{3}{5} = -2 \frac{5}{15} - 2 \frac{9}{15} = -4 \frac{14}{15} [/tex]
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