The denominators are 777, 333, and 666. The LCD of these numbers is 424242.
27=2×67×6=1242 \frac{2}{7} = \frac{2 \times 6}{7 \times 6} = \frac{12}{42} 72=7×62×6=4212 −13=−1×143×14=−1442 -\frac{1}{3} = -\frac{1 \times 14}{3 \times 14} = -\frac{14}{42} −31=−3×141×14=−4214 −16=−1×76×7=−742 -\frac{1}{6} = -\frac{1 \times 7}{6 \times 7} = -\frac{7}{42} −61=−6×71×7=−427
1242+(−1442)+(−742)=12−14−742=−942 \frac{12}{42} + \left(-\frac{14}{42}\right) + \left(-\frac{7}{42}\right) = \frac{12 - 14 - 7}{42} = \frac{-9}{42} 4212+(−4214)+(−427)=4212−14−7=42−9
−942=−314 \frac{-9}{42} = \frac{-3}{14} 42−9=14−3
−314\boxed{-\frac{3}{14}}−143
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