\[\frac{\frac{-\frac{3}{5}}{-\frac{8}{15}}}{\frac{2}{9}}\]
1
Move the negative sign to the left.
−35×−815×29-\frac{3}{5\times \frac{-8}{15}\times \frac{2}{9}}

2
Use this rule: ab×cd=acbd\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}.
−35×−8×215×9-\frac{3}{\frac{5\times -8\times 2}{15\times 9}}

3
Simplify  5×−85\times -8  to  −40-40.
−3−40×215×9-\frac{3}{\frac{-40\times 2}{15\times 9}}

4
Simplify  −40×2-40\times 2  to  −80-80.
−3−8015×9-\frac{3}{\frac{-80}{15\times 9}}

5
Simplify  15×915\times 9  to  135135.
−3−80135-\frac{3}{\frac{-80}{135}}

6
Move the negative sign to the left.
−3−80135-\frac{3}{-\frac{80}{135}}

7
Simplify  80135\frac{80}{135}  to  1627\frac{16}{27}.
−3−1627-\frac{3}{-\frac{16}{27}}

8
Move the negative sign to the left.
−(−31627)-(-\frac{3}{\frac{16}{27}})

9
Invert and multiply.
−(−3×2716)-(-3\times \frac{27}{16})

10
Use this rule: a×bc=abca \times \frac{b}{c}=\frac{ab}{c}.
−(−3×2716)-(-\frac{3\times 27}{16})

11
Simplify  3×273\times 27  to  8181.
−(−8116)-(-\frac{81}{16})

12
Remove parentheses.
8116\frac{81}{16}

Done

Decimal Form: 5.0625
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