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-\frac{16}{125\times 2}-\sqrt{\frac{0}{108}}
Express \frac{\frac{16}{125}}{2} as a single fraction.
-\frac{16}{250}-\sqrt{\frac{0}{108}}
Multiply 125 and 2 to get 250.
-\frac{8}{125}-\sqrt{\frac{0}{108}}
Reduce the fraction \frac{16}{250} to lowest terms by extracting and canceling out 2.
-\frac{8}{125}-\sqrt{0}
Zero divided by any non-zero number gives zero.
-\frac{8}{125}-0
Calculate the square root of 0 and get 0.
-\frac{8}{125}+0
Multiply -1 and 0 to get 0.
-\frac{8}{125}
Add -\frac{8}{125} and 0 to get -\frac{8}{125}.